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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3072

Title: The semicentre of a group algebra
Authors: WAUTERS, Paul
Issue Date: 1999
Publisher: OXFORD UNIV PRESS
Citation: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 42. p. 95-111
Abstract: We study the semicentre of a group algebra K[G] where K is a field of characteristic zero and G is a polycyclic-by-finite group such that Delta(G) is torsion-free abelian. Several properties about the structure of this ring are proved, in particular as to when is the semicentre a UFD. Examples are constructed when this is not the case. We also prove necessary and sufficient conditions for every normal element of K[G] which belongs to K[Delta(G)] to be the product of a unit and a semi-invariant.
Notes: Limburgs Univ Centrum, Dept Math, Diepenbeek, Belgium.Wauters, P, Limburgs Univ Centrum, Dept Math, Diepenbeek, Belgium.
URI: http://hdl.handle.net/1942/3072
ISI #: 000078418400008
ISSN: 0013-0915
Type: Journal Contribution
Validation: ecoom, 2000
Appears in Collections: Research publications

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