A generalization of Alperin fusion theorem and its applications

DOI10.1016/j.jalgebra.2024.02.016arXiv2204.11303OpenAlexW4392195555MaRDI QIDQ6123756

M. Yasir Kızmaz

Publication date: 8 April 2024

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

Full work available at URL: https://arxiv.org/abs/2204.11303

zbMATH Keywords

Alperin fusion theoremsemisaturated fusion systemstrongly resistant \(p\)-group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Automorphisms of abstract finite groups (20D45)

Cites Work

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• On the rank and exponent of the fixed points of coprime actions
• On the centralizers of involutions in finite groups. II
• Fusion systems on small 𝑝-groups
• All 𝑝-local finite groups of rank two for odd prime 𝑝
• CONTROL OF FUSION IN FUSION SYSTEMS
• A Sufficient Condition for p -Stability

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