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Group identities on units of locally finite algebras and twisted group algebras

✍ Scribed by Liu, Chia-Hsin


Book ID
126721249
Publisher
Taylor and Francis Group
Year
2000
Tongue
English
Weight
568 KB
Volume
28
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES


Group Identities on Units of Group Algeb
✍ A. Giambruno; S.K. Sehgal; A. Valenti πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 178 KB

Let U be the group of units of the group algebra FG of a group G over a field F. Suppose that either F is infinite or G has an element of infinite order. We characterize groups G so that U satisfies a group identity. Under the assumption that G modulo the torsion elements is nilpotent this gives a c

On Units of Twisted Group Algebras
✍ Chia-Hsin Liu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 110 KB

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