Publication List
 
1. On P. Hall's generalization of a theorem of Frobenius. Proc. Glasgow Math. Assoc.5 (1962): 97-100.
2. Ringoids with minimum condition. Math. Z. 83 (1964): 395-408.
3. On the isomorphism of group algebras. Math. Z. 95(1967): 71-75.
4. On the isomorphism of integral groups rings, I. Canad J. Math. 21 (1969): 410-413.
5. On the isomorphism of integral groups rings, II. Canad. J. Math. 21 (1969): 1182-1188.
6. Units in commutative integral group rings. Math. J. Okayama Univ. 14 (1970): 135-138.
7. Isomorphism of p-adic group rings. J. Number Theory. 2 (1970): 500-508.
8. On class sums in p-adic group rings. Canad J. Math. 23 (1971): 541-543.
9. (with I.B.S. Passi). Isomorphism of modular group algebras. Math. Z. 129 (1972): 65-73.
10. (with P. Dubois). Another proof of the invariance of Ulm's functions in commutative modular group rings. Math. J. Okayama Univ. 15 (1972): 137-139.
11. Lie properties in modular group algebras. Proc. Conference on group rings and related topics, O.S.U. (1972): Springer-Verlag.
12. (with M. Parmenter and I.B.S. Passi). Polynomial ideals in group rings. Canad. J. Math. 25 (1973): 1174-1182.
13. (with M. Parmenter). Uniqueness of the coefficient ring in some group rings. Canad Math. Bull 16 (1973): 551-555.
14. (with M. Parmenter). Idempotent elements and ideals in group rings and the intersection theorem. Arch. Math. 24 (1973): 586-600.
15. (with I.B.S. Passi). Lie dimension subgroups. Comm. Algebra 3 (1975): 59-73.
16. Certain algebraic elements in group rings. Arch. Math. 26 (1975): 139-143.
17. Nilpotent elements in group rings. Manuscripta Math. 15 (1975): 65-80.
18. (with M. Parmenter). Non Archimedian group algebras. J. Number Theory 7 (1975): 376-384.
19. (with J.L. Fisher). Principal ideal group rings. Comm. Algebra 4 (1976): 319-325.
20. (with J.L. Fisher and M. Parmenter). Group rings with solvable n-Engel unit groups. Proc. Amer. Math. Soc. 59 (1976): 195-200.
21. (with H.J. Zassenhaus). Integral group rings with nilpotent unit groups. Comm. Algebra 5 (1977): 101-111.
22. (with H.J. Zassenhaus). Group rings without nontrivial idempotents. Arch. Math.28 (1977): 378-380.
23. (with G. Cliff). On the trace of an idempotent in group rings. Proc. Amer. Math. Soc. 62 (1977): 11-14.
24. (with H.J. Zassenhaus). Group rings whose units form an F.C. group. Math. Zeit.153 (1977): 29-35.
25. (with G. Cliff). Group rings whose units form an FC-group. Math. Z. 161 (1978): 163-168.
26. (with G. Cliff). Groups which are normal in the unit groups of their group rings. Arch. Math. 33 (1979): 529-537.
27. (with J. Ritter). Group rings of metabeian groups. Comm. Algebra 10 (1980): 941-951.
28. (with H. Zassenhaus). On the supercentre of a group and its ring theoretic generalization. Integral Representations and Applications, Proc. Oberwolfach (1980): 117-144.
29. (with G. Cliff). Group rings with units torsion over the center. Manuscripta Math.33 (1980): 145-158.
30. (with C. Polcino Milies). FC-elements in a group ring. Comm. Algebra 12 (1981): 1285-1293.
31. (with G. Cliff and A. Weiss). Units of integral group rings of metabeian groups. J. Algebra 73 (1981): 167-185.
32. (with J. Ritter). Integral group rings of some p-groups. Canad. J. Math. 34 (1982): 233-246.
33. (with J. Ritter). Isomorphism of group rings. Arch. Math. 40 (1983): 32-39.
34. Units of integral group rings. Proc. 7th Brazilian School of Algebra (11 typed pages).
35. Torsion units in integral group rings. Proc. Nato Inst. on Methods in Ring Theory, Antwerp (1983): D. Riedel, 497-504.
36. (with J. Ritter). On a conjecture of Zassenhaus on torsion units in integral group rings. Math. Ann. 264 (1983): 257-270.
37. (with C. Polcino Milies). Torsion units in integral group rings of metacylic groups. J. Number Theory 19 (1984): 103-114.
38. (with Surinder Sehgal and Hans Zassenhaus). Isomorphism of integral group rings of abeian by nilpotent class two groups. Comm. Algebra 12 (19) (1984): 2401-2407.
39. (with S. Kmet). Some isomorphism invariants of integral group rings. Rocky Mtn. J. Math.15 (1985): 451-458.
40. (with F. Levin). On Lie nilpotent group rings. J. Pure and Appl. Alg. 37 (1985): 33-39.
41. (with K. Hoechsmann and A. Weiss). Cyclotomic units and the unit group of an abelian group ring. Arch. Math. 45 (1985): 5-7.
42. (with A. Weiss). Torsion units in integral group rings of some metabelian groups. J. Algebra 108 (1986): 490-499.
43. (with C. Polcino Milies and J. Ritter). On a conjecture of Zassenhaus on torsion units in integral group rings II. Proc. Amer. Math. Soc. 97 (1986): 201-206.
44. (with K. Hoechsmann). Units in regular elementary abelian group rings. Arch. Math. 47 (1986): 413-417.
45. On a theorem of G. Higman. Proc. of the 9th School of Algebra, Brasilia, (1986): 61-73.
46. (with K. Hoechsmann). Integral group rings without proper units. Canad. Math. Bull. 30 (1987): 36-42.
47. (with Z. Marciniak, J. Ritter and A. Weiss). Torsion units in integral group rings of some metabelian groups II. J. Number Theory 25 (1987): 340-352.
48. (with J. Ritter). Certain normal subgroups of units in group rings. Jour. Reine Angew.381 (1987): 214-220.
49. (with K. Hoechsmann). Units in regular abeian p-group rings. J. Number Theory 30 (1988): 375-381.
50. (with J. Goncalves and J. Ritter). Subnormal subgroups in U(ZG). Proc. Amer. Math. Soc.103 (1989): 375-382.
51. (with A. Giambruno). A Lie property in group rings. Proc. Amer. Math. Soc. 105 (1989): 287-292.
52. (with A. Giambruno). On a polynomial identity for n x n matrices. J. Algebra 126 (1989): 451-453.
53. (with J. Ritter). Generators of subgroups of U(ZG). Contemporary Maths. 93 (1989): 33 1-347.
54. (with J. Ritter). Construction of units in integral group rings of finite nilpotent groups. Bull Amer. Math. Soc. 20 (1989): 165-168.
55. (with A. Lichtman). The elements of finite order in the group of units of group rings of free products of groups. Comm. Algebra 17 (9) (1989): 2223-2253.
56. (with J. Ritter). Integral group rings with trivial central units. Proc. Amer. Math. Soc.108 (1990): 327-329.
57. Units of integral group rings - a survey. Proc. First Symposium in Algebra and Number Theory, Hong Kong. World Scientific (1990): 255-268.
58. (with A. Giambruno and A. Valenti). Automorphisms of the integral group ring of the hyperoctahedral group. Comm. Algebra 18 (1990): 1989-2005.
59. (with J. Ritter). Construction of units in integral group rings of finite nilpotent groups. Trans. Amer. Math. Soc. 324 (1991): 603-621.
60. (with A. Bhandari). An induction theorem for units of p-adic group rings. Bull. Canad Math. Soc. 34 (1991): 31-35.
61. (with A. Giambruno and A. Valenti). Automorphisms of the integral group rings of some wreath products. Comm. Algebra 19 (1991): 519-534.
62. (with T. Hurley). The Lie dimension subgroup conjecture. J. Algebra 143 (1991): 46-56.
63. (with J. Ritter). Construction of units in group rings of monomial and symmetric groups. J. Algebra 142 (1991): 511-526.
64. (with A.A. Bovdi). Unitary subgroups of integral group rings. Manuscripta Math. 76 (1992): 213-222.
65. (with A. Giambruno). Automorphisms of the integral group ring of the wreath product of a p-group with S_n. Rocky Mountain J. Math. 22 (1992): 1303-1316.
66. (with A. Bovdi). Unitary subgroups of integral group rings. Publ. Mat. 36 (1992): 197-204.
67. (with K. Hoechsmann). On a theorem of Bovdi. Math. Debrecenes.41 (1992): 259-262.
68. Large groups of units of integral group rings of finite nilpotent groups. Resenhas IME-USP 1 (1993): 116-123.
69. (with J. Ritter). Units of group rings of solvable and Frobenius groups over large rings of cyclotomic integers. J. Algebra 158 (1993): 116-129.
70. (with A. Zalesskii). Multiplicities of irreducible components of restrictions of complex representations of finite groups to certain subgroups. Comm. Algebra 21 (1993): 37-51.
71. (with M. Parmenter). Automorphisms of the integral group ring of the wreath product of a p-group with S_n the case n=2. Rocky Mountain J. Math. 23 (1993): 1379-1383.
72. (with F. Levin). Units of the integral group rings of the infinite dihedral group. Proceedings of the Special Session of the American Mathematical Society. World Scientific, (1993) 57-68.
73. (with A.E. Zalesskii). Induced modules and some arithmetic invariants of the finitary symmetric groups. Nova Journal of Algebra and Geometry2 (1993): 89-105.
74. (with A. Giambruno). Lie nilpotence of group rings. Comm. Algebra 11 (1994): 4253-4261.
75. (with A. Bovdi and Z. Marciniak). Torsion units in infinite group rings. J. of Number Theory 47 (1994): 284-299.
76. (with M.A. Dokuchaev). Torsion units in integral group rings of solvable groups. Comm. Algebra 22 (1994): 5005-5020.
77. (with A. Giambruno). Generators of large subgroups of units of integral group rings of nilpotent groups. J. Algebra 174 (1995): 150-156.
78. (with Z. Marciniak). Hirsch induction and torsion units in group rings. Archiv Math. (1995): 374-384.
79. (with Z. Marciniak). Finite matrix groups over nilpotent group rings. J. Algebra 181 (1996): 565-583.
80. (with V. Bovdi and L.G. Kovacs). Symmetric units in modular group algebras. Comm. Algebra 24 (1996): 803-808.
81. (with E. Jespers and M.M. Parmenter). Central units of integral group rings of nilpotent groups. Proc. Amer. Math. Soc. 124 (1996): 1007-1012.
82. (with T.C. Hurley). The modular Fox subgroups. Comm. Algebra24 (1996): 4567-4580.
83. (with Z. Marciniak). Constructing free subgroups of integral group ring units. Proc. Amer. Math. Soc. 125 (1997): 1005-1009.
84. (with A. Giambruno and A. Valenti). Group algebras whose units satisfy a group identity. Proc. Amer. Math. Soc. 125 (1997): 629-634.
85. (with O. Neisse). Gauss units in integral group rings. J. Algebra204 (1998): 588-596.
86. (with Z. Marciniak). Units in group rings and geometry. Methods in Ring Theory, Lectures notes in Pure and Applied Mathematics 198 (1998): 185-198.
87. (with Z. Marciniak). Subnormal subgroups of group ring units. Proc. Amer. Math. Soc. 126 (1998): 343-348.
88. (with Z. Marciniak). Zasssenhaus conjectures for infinite groups. Canad Math. Soc. Conference Proceedings 22 (1998): 99-111.
89. (with O. Neisse) Units in integral group rings over Solomon Fields. Comm. Algebra 26 (1998): 3985-3991.
90. (with A. Giambruno and A. Valenti). Symmetric Units and group identities, Manuscripta Math. 96 (1998): 443-461.
91. Symmetric elements and identities in group algebras. Algebra, Some recent advances. Indian National Science Academy, 207-213, Editor I.B.S. Passi (1998).
92. (with Y. Li and M. Parmenter). On the normalizer property for integral group rings. Comm. Algebra 27 (1999): 4217-4223.
93. (with C. Polcino Milies). Central units of integral group rings. Comm. Algebra 27 (1999): 6223-6241.
94. (with Y. Bachturin and M. Zaicev). G-identities of non-associative algebras, Mat. Sbornik, 190 (1999): 3-14.
95. (with A. Giambruno and A. Valenti). Group identities on units of group algebras, Group Algebras 226 (2000): 488-504.
96. (with T. Hurley). Groups related to Fox subgroups, Comm. Algebra28 (2000): 1051-1059.
97. (with Z. Marciniak). Torsion matricies over abelian group rings, J. Group Theory 3 (2000): 67-75.
98. (with G. T. Lee). Torsion matricies over commutative integral group rings Publ. Mat. 44 (2000), 359-367.
99. (with M. Zaicev). Finite gradings of simple artinian rings, Moscow Univ. Math. Bull 3 (2001), 21-24.
100. (with Y. Bachturin and M. Zaicev). Group Gradings on Associative Algebras, J. Algebra 241 (2001), 677-698.
101. (with M. Zaicev). Graded identities of group algebras, Comm. Algebra 30 (2002), 489-505.
102. Zassenhaus conjecture, Supp. III, Encycl. Math., Kluwer, (2002), 453-454.
103. (with Szigeti J.) Matrices over centrally Z2-graded rings, Beträge Algebra Geom. 43 (2002), 399-406.
104. (with M. Zaicev) Graded identities and induced gradings on group algebras. Groups, Rings, Lie and Hopf Algebras, Kluwer, Dordrecht (2003), 211-219.
105. (with Z. Marciniak) The unit group of 1 + ∆ (G) ∆ (A) is torsion-free, J. Group Theory 6 (2003), 223-228.
106. (with Petit Lobáo) The normalizer property for integral group rings of complete monomial groups, Comm. Algebra 31 (2003), 2971-2983.
107. (with M. Parmenter) Torsion freeness of the unit group of 1 + ∆ (G) ∆ (A). Groups, Rings, Lie and Hopf Algebras, Kluwer, Dordrecht (2003), 203-210.
108. Group Rings, Handbook of Algebra, Vol 3, Edited by M. Hazewinkel, Elsevier, (2003) 455-541.
109. (with M. Dokuchaev and C. Polcino Milies) Integral group rings with trivial central units. II, Comm. Algebra 33 (2005), 37-42.
110. (with J. Ritter) Trivial units in RG, Proc. Royal Irish Academy, 105 A (1), (2005), 25-39.
111. (with M. Zaicev) Identities of group algebras, Comm. Algebra (2005), 4283-4289.
112. (with Z. Marciniak) Generic units in abelian group rings, J. Group Theory (2005), 777-799.
113.
(with A. Giambruno) Group algebras whose Lie algebra of skew-symmetric elements is nilpotent, Contemp. Math. (2006), 113-120
114.
(with A. del Rio) Zassenhaus conjecture (ZC1) on torsion units of integral group rings for some metabelian groups, Arch. Math. (2006), 392-397.
115.
(with Z. Marciniak) Generic units in $\Bbb ZC$, Groups, rings and group rings, Lect. Notes Pure Appl. Math (2006), 279-286.
116.
(with A. Valenti) Group algebras with symmetric units statisfying a group identity, Manuscripta Math. (2006), 243-254.

117.

(with G. Lee and C. Polcino Milies) Group rings whose symmetric units are nilpotent, J. Group Thoery 10 (2007), 685-701.

118.

(with Y. A. Bakhturin and M. Zaicev) Finite-dimensional simple graded algebras, Mat. Sbornik 199 (2008), 21-40.

119.

(with A. Giambruno and C. Polcino Milies) Lie properties of symmetric elements in group rings. J. Algebra 321 (2009), 890-902.

120.

(with G. T. Lee and E. Spinelli) Lie properties of symmetric elements in group rings. II. J. Pure Appl. Algebra 213 (2009), 1173-1178.

121.

(with G. T. Lee and E. Spinelli) Group algebras whose symmetric and skew elements are Lie solvable. Forum Math. 21 (2009), 661-671.

122.

(with A. Giambruno and C. Polcino Milies) Group identities on symmetric units. J. Algebra 322 (2009), 2801-2815.

123.

(with G. T. Lee and E. Spinelli) Nilpotency of group ring units symmetric with respect to an involution. J. Pure Appl. Algebra 214 (2010), 1592-1597.

124.

(with A. Giambruno and C. Polcino Milies) Group algebras of torsion groups and Lie nilpotence. J. Group Theory 13 (2010), 221-231.

Books

1. Topics in Group Rings. Marcel Dekker, New York, 1978.
2. Units in Integral Group Rings. Longman's, Essex, U.K., 1993.
3. (with C. Polcino Milies). Introduction to Group Rings, Kluwer, Dordrecht, 2002.

Books Edited
1. Representation Theory, Group Rings and Coding Theory. Contemporary Math., VoL 93, Amer. Math. Soc.
2. (with A. Giambruno & V. Drensky). Methods in Ring Theory. Lecture Notes in Pure and Applied Mathematics Series/Dekker, N.Y. 198.
3. (with Giambruno & C. Polcino Miles). Groups, rings and group rings. Lecture Notes in Pure and Applied Mathematics, Chapman & Hall/CRC Boca Raton, FL, 2006.

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