Weight conjectures for fusion systems

DOI10.1016/j.aim.2019.106825OpenAlexW2978543919WikidataQ123146472 ScholiaQ123146472MaRDI QIDQ2335481

Jason Semeraro, Radha Kessar, Justin Lynd, Markus Linckelmann

Publication date: 14 November 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01453

zbMATH Keywords

blockfinite groupFusion system

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Topological groups, Lie groups (22-XX)

Related Items (9)

Alperin weight conjecture and related developments ⋮ A 2-Compact Group as a Spets ⋮ Weights for \(\ell\)-local compact groups ⋮ Unnamed Item ⋮ Weights in a Benson-Solomon block ⋮ Minimal heights and defect groups with two character degrees ⋮ Problems on characters: solvable groups ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Fusion systems on a Sylow \(p\)-subgroup of \(G_2(p^n)\) or \(PSU_4(p^n)\)

Uses Software

• Magma

Cites Work

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• The equivalence of some conjectures of Dade and Robinson.
• Fusion category algebras.
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• The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
• Weight conjectures for ordinary characters.
• Alperin's weight conjecture in terms of equivariant Bredon cohomology
• Extending Brauer's Height Zero Conjecture to Blocks with Nonabelian Defect Groups
• Brauer's Height Conjecture for p-Solvable Groups
• The orbit space of a fusion system is contractible
• On Characters of Relatively Projective Modules
• Some Remarks on a Conjecture of Alperin
• Locally Determined Functions and Alperin's Conjecture
• The homotopy theory of fusion systems
• The Block Theory of Finite Group Algebras
• Local Structure, Vertices and Alperin's Conjecture
• Subgroup families controlling p-local finite groups
• Weights in a Benson-Solomon block

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