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The genus and localization of finitely generated (torsion-free abelian)-by-finite groups

Published online by Cambridge University Press:  01 March 2000

NIAMH O'SULLIVAN
NIAMH O'SULLIVAN
Affiliation:
Department of Mathematics, University College Dublin, Dublin, Ireland; e-mail: Niamh.E.Osullivan@udg.ie
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Abstract

In this paper we investigate the relationship between genus and localization of finitely generated (torsion-free abelian)-by-finite groups and genus and localization in integral representation theory. In particular when such a group has finite commutator subgroup we can determine the genus exactly.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 2 , March 2000 , pp. 257 - 268
Copyright
© The Cambridge Philosophical Society 2000

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