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Unit Groups of Semisimple Group Algebras of Abelianp-Groups over a Field

✍ Scribed by Nako A. Nachev; Todor Zh. Mollov

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 134 KB
Volume: 188
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6826

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✦ Synopsis

Let G be an abelian p-group, let K be a field of characteristic different from p, and let KG be the group algebra of G over K. In this paper we give a description Ž . Ž. of the unit group U KG of KG when i K is a field of the first kind with respect 1 Ž . to p and the first Ulm factor GrG is a direct sum of cyclic groups and when ii G is an arbitrary abelian p-group and K is a field of the second kind with respect to Ž . p. The indicated description of U KG extends results of Chatzidakis and Pappas.

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