Centralizers of normal subgroups and the \(Z^*\)-theorem.

DOI10.1016/j.jalgebra.2015.06.027zbMath1320.20025arXiv1411.1932OpenAlexW1712249868MaRDI QIDQ2515623

Jason Semeraro, Ellen Henke

Publication date: 5 August 2015

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

Full work available at URL: https://arxiv.org/abs/1411.1932

zbMATH Keywords

finite groupsfusion systemsGlauberman \(Z^*\)-theorem

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35)

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Cites Work

• Products in fusion systems.
• On extensions of the Baer-Suzuki theorem
• Glauberman's conjecture, Mazurov's problem and Peng's problem
• Centralizers of subsystems of fusion systems
• Central elements in core-free groups
• The generalized Fitting subsystem of a fusion system
• Unnamed Item