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http://hdl.handle.net/1942/3072
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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