Affiliation:
1. Department of Mathematics and Astronomy, Lucknow University, Lucknow 226007, India
Abstract
A classification of Lie solvable group algebras of derived length 3 over fields of characteristic 3 and 5 is given. It is known that for a field K with Char K ≥ 7 and G an arbitrary group, δ[3](L(KG)) = 0 if and only if δ(3)(KG) = 0. Same turns out to be true when Char K = 5 and G is an arbitrary group or when Char K = 3 and G is a two-Engel group.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Reference13 articles.
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3. F. Levin and G. Rosenberger, Group and Semigroup Rings (Johannesburg 1985), North Holland Math Stud. 126 (North Holland, Amsterdam) pp. 153–161.
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