Realizing fusion systems inside finite groups

DOI10.1090/proc/13077zbMath1367.20016arXiv1508.05667OpenAlexW2278138528MaRDI QIDQ2809184

Sejong Park

Publication date: 27 May 2016

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

Full work available at URL: https://arxiv.org/abs/1508.05667

zbMATH Keywords

finite groupfusion system

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) 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)

Related Items (1)

Algorithms for fusion systems with applications to 𝑝-groups of small order

Cites Work

• Unnamed Item
• The abelian monoid of fusion-stable finite sets is free
• Realizing a fusion system by a single finite group.
• Realising fusion systems.
• Minimal characteristic bisets for fusion systems
• Counting conjugacy classes of cyclic subgroups for fusion systems.
• The homotopy theory of fusion systems

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