A reduction theorem for fusion systems of blocks.
From MaRDI portal
Publication:2474485
DOI10.1016/j.jalgebra.2006.05.039zbMath1193.20006OpenAlexW2049714836MaRDI QIDQ2474485
Publication date: 6 March 2008
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: http://openaccess.city.ac.uk/1894/1/exsp-sept.pdf
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
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On the definition of saturated fusion systems, Block-exoticity of a family of exotic fusion systems, A note on Olsson's conjecture., Proving a conjecture for fusion systems on a class of groups, $ZJ$-theorems for fusion systems, Unstable Adams operations acting on \(p\)-local compact groups and fixed points, On some saturated triples and hyperfocal subgroups, Restriction between cohomology algebras of blocks of finite groups., Saturated fusion systems as idempotents in the double Burnside ring., Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks, Fusions and Clifford extensions, Classifying spectra of saturated fusion systems, Blocks with transitive fusion systems, A characteristic subgroup for fusion systems., Fusion systems, Reduction theorems for generalised block fusion systems
Cites Work
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- Local methods in block theory
- Finite groups with Sylow 2-subgroups of type .3
- The blocks of finite general linear and unitary groups
- The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
- Donovan's conjecture, crossed products and algebraic group actions
- Simple fusion systems and the Solomon 2-local groups.
- The Solomon system \({\mathcal F}_{\text{Sol}}(3)\) does not occur as fusion system of a 2-block.
- Extensions of $p$-local finite groups
- The homotopy theory of fusion systems
