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Central units of integral group rings of nilpotent groups
Author(s):
E.
Jespers;
M.
M.
Parmenter;
S.
K.
Sehgal
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1007-1012.
MSC (1991):
Primary 16U60, 20C05, 20C07;
Secondary 20C10, 20C12
MathSciNet review:
1328353
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Abstract:
In this paper a finite set of generators is given for a subgroup of finite index in the group of central units of the integral group ring of a finitely generated nilpotent group.
References:
- 1.
- H. Bass, The Dirichlet Unit Theorem, Induced Characters and Whitehead Groups of Finite Groups, Topology, 4 (1966), 391--410. MR 33:1341
- 2.
- J. Ritter and S.K. Sehgal, Integral group rings with trivial central units, Proc. Amer. Math. Soc., 108 (1990), 327--329. MR 90d:16009
- 3.
- J. Ritter and S.K. Sehgal, Construction of Units in Integral Group Rings of Finite Nilpotent Groups, Trans. Amer. Math. Soc., 324 (2)(1991), 603--621. MR 91h:20008
- 4.
- J. Ritter and S.K. Sehgal, Units of group rings of solvable and Frobenius groups over large rings of cyclotomic integers, Journal of Algebra, 158 (1993), 116-129. MR 95d:16045
- 5.
- Derek J.S. Robinson, A course in the theory of groups, Springer Verlag, 1982. MR 84k:20001
- 6.
- S. K. Sehgal, Topics in group rings, Marcel Dekker, New York, 1978. MR 80j:16001
- 7.
- S. K. Sehgal, Units in integral group rings, Longman Scientific and Technical, Essex, 1993. MR 94m:16039
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Additional Information:
E.
Jespers
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7
Email:
ejespers@albert.math.mun.ca
M.
M.
Parmenter
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7
Email:
mparmen@plato.ucs.mun.ca
S.
K.
Sehgal
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email:
ssehgal@schur.math.ualberta.ca
DOI:
10.1090/S0002-9939-96-03398-9
PII:
S 0002-9939(96)03398-9
Received by editor(s):
August 4, 1994
Additional Notes:
This work is supported in part by NSERC Grants OGP0036631, A8775 and A5300, Canada, and by DGICYT, Spain
Communicated by:
Ronald Solomon
Copyright of article:
Copyright
1996,
American Mathematical Society
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