On units of twisted group algebras

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)


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 Kt[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.

頁(從 - 到)271-282
期刊Journal of Algebra
出版狀態已發佈 - 2002 四月 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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