Twisting in group algebras of finite groups
โ Scribed by M. V. Movshev
- Publisher
- Springer US
- Year
- 1994
- Tongue
- English
- Weight
- 479 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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
Let D ฯ (G) be the twisted quantum double of a finite group, G, where ฯ โ Z 3 (G, C \* ). For each n โ 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|.