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A Note on Commutators with Power Central Values on Lie Ideals

✍ Scribed by Yu Wang; Hong You

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
153 KB
Volume
22
Category
Article
ISSN
1439-7617

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A Note on Lie Centrally Metabelian Group
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✍ Meena Sahai; J.B. Srivastava πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 126 KB

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