On \(\pi\)-subpairs and the third main theorem for \(\pi\)-blocks

DOI10.1016/0021-8693(89)90308-6zbMath0684.20009OpenAlexW2019436236MaRDI QIDQ1825271

Geoffrey R. Robinson, Reiner Staszewski

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90308-6

zbMATH Keywords

\(\pi\)-blocks of irreducible characterscyclic Hall \(\pi\)-subgroupmaximal \(\pi\)-subpairsnilpotent \(\pi\)-subgroupp-blocks with cyclic defect groupsSecond Main Theorem for \(\pi\)-blocksThird Main Theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Integral representations of finite groups (20C10)

Related Items (2)

On \(\pi\)-subpairs of \(\pi\)-blocks. ⋮ On the number of \(B_{\pi'}\)-characters in a nilpotent \(\pi\)-block.

Cites Work

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• Local methods in block theory
• Group algebras over semi-local rings
• pi-blocks of pi-separable groups. II

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