Local functions on finite groups

DOI10.1090/ert/535zbMath1444.20020OpenAlexW2999738570WikidataQ126357316 ScholiaQ126357316MaRDI QIDQ5216146

I. M. Isaacs, Gabriel Navarro

Publication date: 14 February 2020

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/ert/535

zbMATH Keywords

blockcharacterAlperin's weight conjecturedefectgroupMcKay conjecturelocal subgroup\(p\)-subgroupsubgroup chain

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Abstract finite groups (20D99) Local properties of groups (20E25)

Related Items (2)

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Cites Work

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• Counting characters in blocks. I
• Euler characteristics of groups: The \(p\)-fractional part
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• On Alperin's conjecture and certain subgroup complexes
• Dade's ordinary conjecture implies the Alperin-McKay conjecture
• Variations on McKay's character degree conjecture
• Blocks with cyclic defect groups
• Investigations on group characters
• Some Remarks on a Conjecture of Alperin
• Locally Determined Functions and Alperin's Conjecture
• High dimensional cohomology of discrete groups
• Character Theory and the McKay Conjecture
• Characters of Solvable Groups
• Local Structure, Vertices and Alperin's Conjecture

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