Existence, Uniqueness and Functoriality of the Perfect Locality over a Frobenius P-Category

DOI10.1142/S1005386716000523zbMath1391.20016arXiv1207.0066OpenAlexW2963035291MaRDI QIDQ3179765

Lluis Puig

Publication date: 20 December 2016

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

Full work available at URL: https://arxiv.org/abs/1207.0066

zbMATH Keywords

localityfinite groupFrobenius categoryfusion systemcentric linking system

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Finite nilpotent groups, (p)-groups (20D15) Frobenius induction, Burnside and representation rings (19A22) Category of groups (20J15) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Cites Work

• Fusion systems and localities.
• Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
• Extensions of nilpotent blocks
• Frobenius categories.
• The homotopy theory of fusion systems
• The Hecke Algebra of a Frobenius P-Category

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