Sylow 2-subgroups of the fixed point subgroup and the solvability of finite groups

DOI10.1142/S0219498819500804zbMath1481.20077OpenAlexW2803040681MaRDI QIDQ5383856

Zhaoying Chen, Qinhui Jiang, Kefeng Li

Publication date: 20 June 2019

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

Full work available at URL: https://doi.org/10.1142/s0219498819500804

zbMATH Keywords

Sylow 2-subgroupsfinite groupscoprime action

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15)

Uses Software

• GAP

Cites Work

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• The theory of finite groups. An introduction.
• The characterization of finite groups with abelian Sylow 2-subgroups
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility
• Invariant Sylow subgroups and solvability of finite groups

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