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Lie centre-by-metabelian group algebras in even characteristic. II - MaRDI portal

Lie centre-by-metabelian group algebras in even characteristic. II (Q1972372)

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scientific article; zbMATH DE number 1436099
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Lie centre-by-metabelian group algebras in even characteristic. II
scientific article; zbMATH DE number 1436099

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    Lie centre-by-metabelian group algebras in even characteristic. II (English)
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    17 August 2000
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    This paper is the second in a series and completes the classification of group algebras that are Lie center-by-metabelian. Part I [see the preceding item Zbl 0947.16016] is devoted to groups of class 2 and to groups with commutator subgroup of exponent 2. Part II deals with the remaining possibilities and, at some point in the argument, uses a computer program implemented in GAP to classify certain structures when \(|G'|=8\) or 16.
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    centre-by-metabelian group algebras
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    Lie solvable group algebras
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    Lie products
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    Lie ideals
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    characteristic 2
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    Abelian subgroups of finite index
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