Serial group rings of finite groups. Sporadic simple groups and Suzuki groups

DOI10.1007/s10958-016-3126-1zbMath1362.20005OpenAlexW2541244046MaRDI QIDQ503913

A. V. Kukharev, G. E. Puninskij

Publication date: 24 January 2017

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

Full work available at URL: https://doi.org/10.1007/s10958-016-3126-1

zbMATH Keywords

serialblockgroup algebradefectfinite groupsimpleBrauer treep-solvableserial group ringsporadicSuzukiuniserial

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of sporadic groups (20C34)

Related Items (2)

Serial group rings of classical groups defined over fields with an odd number of elements ⋮ When the group ring of a finite simple group is serial

Uses Software

• GAP
• Magma
• ATLAS Group Representations

Cites Work

• The seriality of the group ring of a finite group depends only on the characteristic of the field.
• On Brauer stars
• Über die Zerlegungszahlen der Suzukigruppen Sz(q)
• The Magma algebra system. I: The user language
• Serial group rings of finite groups. \(p\)-nilpotency.
• Sylowgruppen und Kompositions-Struktur
• Serial rings
• Indecomposable representations at characteristic \(p\)
• On the Indecomposable Representations of a Certain Class of Groups
• The Depth of Subgroups of Suzuki Groups
• A construction of almost all Brauer trees
• The brauer characters of the hall-janko group
• On Representations of the Suzuki Groups Over Fields of Odd Characteristic
• The Brauer Tree of the Principal 19-Block of the Sporadic Simple Thompson Group
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