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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

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
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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:

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J. Ritter and S.K. Sehgal, Integral group rings with trivial central units, Proc. Amer. Math. Soc., 108 (1990), 327--329. MR 90d:16009
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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
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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
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S. K. Sehgal, Topics in group rings, Marcel Dekker, New York, 1978. MR 80j:16001
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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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