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A Note on Lie Centrally Metabelian Group Algebras

✍ Scribed by Meena Sahai; J.B. Srivastava

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 126 KB
Volume: 187
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.6354

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✦ Synopsis

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 , this settles completely the characterization of Lie centrally metabelian group algebras in characteristic not equal to 2.

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