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 GЈ is cyclic of order 3. In view of the results of R. K. Sharma Ž . and J. B. Srivastava 1992, J. Algebra 151, 476᎐486 , thi
Lie Centrally Metabelian Group Rings in Characteristic 3
✍ Scribed by B. Külshammer; R.K. Sharma
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 186 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
We classify Lie centrally metabelian group algebras over fields of characteristic 3. ᮊ 1996 Academic Press, Inc.
We are interested in the question of when the group ring FG of G over F is Lie centrally metabelian. For the case p s 0 it is known that FG is w x Lie centrally metabelian if and only if G is abelian. It is proved in 5 that 111
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