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Twisted Group Rings Whose Units Form an FC-Group

Published online by Cambridge University Press:  20 November 2018

Victor Bovdi
Victor Bovdi*
Affiliation:
Department of Mathematics Bessenyei Teachers ' Training CollegeNyíregyháza, Hungary
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Abstract

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Let U(KλG) be the group of units of the infinite twisted group algebra KλG over a field K. We describe the FC-centre ΔU of U(KλG) and give a characterization of the groups G and fields K for which U(KλG) = ΔU. In the case of group algebras we obtain the Cliff-Sehgal-Zassenhaus theorem.

Keywords

16S3520C0720C25
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 2 , 01 April 1995 , pp. 274 - 289
Copyright
Copyright © Canadian Mathematical Society 1995

References

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