Local representation theory and möbius inversion

DOI10.1080/00927879908826634zbMath0931.20011OpenAlexW2094988006MaRDI QIDQ4253136

Laurence Barker

Publication date: 28 February 2000

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

Full work available at URL: http://hdl.handle.net/11693/25143

zbMATH Keywords

finite groupsinvariantsEuler characteristicrepresentationsAlperin's conjectureBurnside ringsMöbius inversionlocal subgroupsnumbers of blocksalternating sumsBrown complexeschains of \(p\)-subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Frobenius induction, Burnside and representation rings (19A22)

Related Items (1)

Alperin weight conjecture and related developments

Cites Work

• Unnamed Item
• Fonction de Möbius d'un groupe fini et anneau de Burnside. (Möbius function of a finite group and the Burnside ring)
• Permutation representations arising from simplicial complexes
• Projectives in Burnside rings, projectives in Green rings, and generalized Steinberg modules.
• Existence and the number of \(p\)-blocks of defect zero in finite groups
• Numbers of classes and chains of subgroups in finite groups
• Equivariant \(K\)-theory and Alperin's conjecture
• On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism
• Some Remarks on a Conjecture of Alperin
• Locally Determined Functions and Alperin's Conjecture
• The defect groups of a clique, p-solvable groups, and Alperin's conjecture.
• THE EULERIAN FUNCTIONS OF A GROUP

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