Finite groups whose automizers of all abelian subgroups are either small or large

DOI10.1080/00927872.2018.1492594zbMath1417.20005OpenAlexW2913106817MaRDI QIDQ4634370

Jiakuan Lu, Wei Meng, Hai-Lou Yao

Publication date: 8 May 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1492594

zbMATH Keywords

solvable groupsabelian subgroupsautomizers

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) General structure theorems for groups (20E34) Automorphisms of abstract finite groups (20D45)

Cites Work

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• On a question of Deaconescu about automorphisms
• Finite groups with large automizers for their nonabelian subgroups
• Quasi-NC groups
• Finite groups with small automizers of their nonabelian subgroups
• Finite Groups with Large Automizers for their Abelian Subgroups
• Endliche Gruppen I
• A Group-Theoretic Proof of a Theorem of MacLagan-Wedderburn
• The structure of NC-groups

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