Lie centre-by-metabelian group algebras in even characteristic. I

DOI10.1007/BF02810580zbMath0947.16016OpenAlexW4233728916WikidataQ115391564 ScholiaQ115391564MaRDI QIDQ1972371

Richard Rossmanith

Publication date: 31 July 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02810580

zbMATH Keywords

Lie productsLie idealscharacteristic 2Abelian subgroups of finite indexcentre-by-metabelian group algebrasLie solvable group algebras

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Solvable, nilpotent (super)algebras (17B30)

Related Items (6)

Strongly Lie solvable group algebras of derived length 4 ⋮ Lie Dimension Subgroups and Central Series Related to Group Algebras ⋮ Lie solvable enveloping algebras of characteristic two ⋮ LIE SOLVABLE GROUP ALGEBRAS OF DERIVED LENGTH THREE IN CHARACTERISTIC THREE ⋮ Lie centrally metabelian group rings over noncommutative rings ⋮ Lie centre-by-metabelian group algebras over commutative rings

Uses Software

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Cites Work

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• The derived length of Lie soluble group rings. I
• Lie centrally metabelian group rings
• A note on Lie centrally metabelian group algebras
• Lie centrally metabelian group rings in characteristic 3
• Lie centre-by-metabelian group algebras in even characteristic. II
• Endliche Gruppen I
• Lie Solvable Group Rings

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