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On Units of Twisted Group Algebras

✍ Scribed by Chia-Hsin Liu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
110 KB
Volume
250
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study units of twisted group algebras. Let G be a finite group and K be a field of characteristic p > 0. Assume that K is not algebraic over a finite field. We determine when units of K t G do not contain any nonabelian free subgroup. We also discuss what will happen when G is locally finite. For twisted group algebras of locally finite groups over any infinite field of characteristic p > 0, we characterize those twisted group algebras with units satisfying a group identity. Finally, we include a new characterization for twisted group algebras to satisfy a polynomial identity.  2002 Elsevier Science (USA)

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