On group algebras with metabelian unit groups
β Scribed by J. Kurdics
- Publisher
- Springer Netherlands
- Year
- 1996
- Tongue
- English
- Weight
- 413 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0031-5303
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π SIMILAR VOLUMES
Let K be a field of characteristic 3 and let G be a non-abelian group. It is shown that the group algebra KG is Lie centrally metabelian if and only if the commutator subgroup GΠ is cyclic of order 3. In view of the results of R. K. Sharma Ε½ . and J. B. Srivastava 1992, J. Algebra 151, 476α486 , thi
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