A note on groups in which the centralizer of every element of order 5 is a 5-group.

DOI10.1134/S0037446612050023zbMath1266.20035arXiv1103.3581MaRDI QIDQ1935177

Christopher Parker, Sarah Astill, Rebecca Waldecker

Publication date: 31 January 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3581

zbMATH Keywords

Frobenius groupsfinite \(p\)-groupscentralizersfixed point free actions

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (3)

Finite groups whose commuting conjugacy class graphs have isolated vertices ⋮ On locally finite \(\mathsf{Cpp}\)-groups ⋮ Finite 4-primary groups with disconnected Gruenberg-Kegel graph containing a triangle

Uses Software

• Magma

Cites Work

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• On 2-groups admitting \(A_5\) of \(A_6\) with an element of order 5 acting fixed point freely
• The Magma algebra system. I: The user language
• On the modular characters of groups
• A₅-INVARIANT 2-GROUPS WITH NO TRIVIAL SECTIONS

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