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Free products of abelian groups in the unit group of integral group rings
Author(s):
Eric
Jespers;
Guilherme
Leal
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1257-1265.
MSC (1991):
Primary 16U60, 16S34
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Abstract:
We classify finite groups  which are such that the unit group of the integral group ring  has a subgroup of finite index which is a non-trivial free product of abelian groups.
References:
- 1.
- B. Banieqbal, Classification of finite subgroups of
 matrices over a division algebra of characteristic zero, J. Algebra 119 (1988), 449-512. MR 90h:20073 - 2.
- R. Gow and B. Huppert, Degree problems of representation theory over arbitrary fields of characteristic 0, J. reine angew. Math. 381 (1987), 136-147. MR 89b:20029
- 3.
- R. Gow and B. Huppert, Degree problems of representation theory over arbitrary fields of characteristic 0, Part 2: Groups which have only two reduced degrees, J. reine angew. Math. 389 (1988), 122-132. MR 89i:20021
- 4.
- E. Jespers, Free normal complements and the unit group of integral group rings, Proc. Amer. Math. Soc. 122(1) (1994), 59-66. MR 94k:16058
- 5.
- E. Jespers, G. Leal and A. del Rio, Products of free groups in the unit group of integral group rings, J. Algebra 180 (1996), 22-40. MR 96m:16045
- 6.
- G. Leal and A. del Rio, Products of free groups in the unit group of integral group rings II, J. Algebra 191 (1997), 240-251. CMP 97:11
- 7.
- D.S. Passman, Permutation groups, Benjamin, New York, 1968. MR 38:5908
- 8.
- D.J.S. Robinson, A course in the theory of groups, Graduate Texts in Math. 80, Springer-Verlag, New York, 1982. MR 84k:20001
- 9.
- S.K. Sehgal, Topics in group rings, Marcel Dekker, New York, 1978. MR 80j:16001
- 10.
- S.K. Sehgal, Units of Integral Group Rings, Longman Scientific and Technical, Essex, 1993. MR 94m:16039
- 11.
- A.D. Thomas and G.V. Wood, Group Tables, Shiva Publishing Limited, 1980. MR 81d:20002
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Additional Information:
Eric
Jespers
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7
Email:
ejespers@albert.math.mun.ca
Guilherme
Leal
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro RJ, Brazil
Email:
gleal@mat.dme.ufrj.br
DOI:
10.1090/S0002-9939-98-04340-8
PII:
S 0002-9939(98)04340-8
Received by editor(s):
October 7, 1996
Additional Notes:
The first named author is supported in part by NSERC grant OGP0036631, Canada.
The second named author, partially supported by CNPq, Brazil, wishes to thank the Memorial University of Newfoundland for its support and friendly atmosphere.
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1998,
American Mathematical Society
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