Computing the order of the nilpotent residual of a finite group from knowledge of its group algebra

DOI10.1007/BF01199096zbMath0805.20004MaRDI QIDQ1325105

Trevor Hawkes, John Cossey

Publication date: 5 February 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

blockorderfinite grouplower central seriesmodular representationnilpotent radicalminimal right idealgroup-algebra

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derived series, central series, and generalizations for groups (20F14)

Related Items

On the blockwise modular isomorphism problem ⋮ Determination of conjugacy class sizes from products of characters. ⋮ BOUNDING THE ORDER OF THE NILPOTENT RESIDUAL OF A FINITE GROUP

Cites Work

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• Recovering information about a group from its complex group algebra
• Two groups with isomorphic group algebras
• A Criterion for a Group to be Nilpotent
• Endliche Gruppen I