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Control of fusion by Abelian subgroups of the hyperfocal subgroup

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Publication:4602091
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DOI10.1142/S021949881850024XzbMath1396.20017arXiv1611.04403OpenAlexW2554501880MaRDI QIDQ4602091

Jun Liao, Ellen Henke

Publication date: 26 January 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04403


zbMATH Keywords

group cohomologyfusion systems


Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15)




Cites Work

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  • On the focal subgroup of a saturated fusion system
  • Group cohomology and control of \(p\)-fusion.
  • Nilpotent fusion systems
  • Normal \(p\)-complements and fixed elements.
  • A theorem of Mislin for cohomology of fusion systems and applications to block algebras of finite groups
  • The hyperfocal subalgebra of a block
  • Nilpotent \(p\)-local finite groups.
  • A \(p\)-nilpotency criterion.
  • The spectrum of an equivariant cohomology ring. I. II
  • A cohomological criterion for p-nilpotence
  • A New Cohomological Criterion for the p-Nilpotence of Groups
  • Quillen’s stratification for fusion systems
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