Finite simple groups of Lie type have non-principal p-blocks, p\(\neq 2\)

DOI10.1016/0021-8693(85)90206-6zbMath0608.20004OpenAlexW2053481099WikidataQ115366903 ScholiaQ115366903MaRDI QIDQ1086342

Peter Brockhaus, Gerhard O. Michler

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90206-6

zbMATH Keywords

blocksfinite groups of Lie typesemisimple elementsSylow p-subgroupnon-principal p-block

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

Finite groups with only one \(p\)-singular Brauer character degree ⋮ On the \(p\)-deficiency class of a finite group ⋮ A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\) ⋮ \(p^ *\)-theory and modular representation theory ⋮ Lie-type-like groups. ⋮ On linear groups of degrees at most \(|{} P|{} -1\) ⋮ Nonsolvable groups satisfying the prime-power hypothesis. ⋮ Quasi-simple groups all of whose non-principal blocks are of defect zero ⋮ On the radical of a group algebra ⋮ The block graph of a finite group

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