Serial group rings of finite simple groups of Lie type

DOI10.1007/s10958-018-3957-zzbMath1397.20009OpenAlexW2887520131WikidataQ115382233 ScholiaQ115382233MaRDI QIDQ1991561

A. V. Kukharev, G. E. Puninskij

Publication date: 30 October 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3957-z

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Cites Work

• The seriality of the group ring of a finite group depends only on the characteristic of the field.
• Brauer trees for blocks of cyclic defect in the groups \(G_ 2(q)\) for primes dividing \(q^ 2\pm q+1\)
• The Brauer trees of the exceptional Chevalley groups of type \(F_4\) and \(^2E_6\)
• The Brauer trees of the exceptional Chevalley groups of type \(E_ 6\)
• Serial group rings of finite groups. \(p\)-nilpotency.
• Serial rings
• Indecomposable representations at characteristic \(p\)
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• The brauer trees of the ree groups
• The Maximal Tori in The Finite Chevalley Groups of Type E₆E₇And E₈
• Generalized gelfand-graev characters for steinberg's triality groups and their applications
• Brauer trees of hecke algebras
• Blocks and brauer trees in the groupsG₂(q) for primes dividingq±1
• On the principal blocks of finite groups with Abelian Sylow \(p\)-subgroups
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