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Twisting in group algebras of finite groups

โœ Scribed by M. V. Movshev


Publisher
Springer US
Year
1994
Tongue
English
Weight
479 KB
Volume
27
Category
Article
ISSN
0016-2663

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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

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We investigate the construction and properties of Cli ord algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of Z n 2 by a cocycle. Our approach is more general than the usual one based on generators and relations. We obtain, in particu

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โœ Christopher D. Goff ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

Let D ฯ‰ (G) be the twisted quantum double of a finite group, G, where ฯ‰ โˆˆ Z 3 (G, C \* ). For each n โˆˆ N, there exists an ฯ‰ such that D(G) and D ฯ‰ (E) have isomorphic fusion algebras, where G is an extraspecial 2-group with 2 2n+1 elements, and E is an elementary abelian group with |E| = |G|.