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|Title:||The semicentre of a group algebra||Authors:||WAUTERS, Paul||Issue Date:||1999||Publisher:||OXFORD UNIV PRESS||Source:||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.||Document URI:||http://hdl.handle.net/1942/3072||ISI #:||000078418400008||Type:||Journal Contribution||Validations:||ecoom 2000|
|Appears in Collections:||Research publications|
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