\(FC\)-groups with few subnormal non-normal subgroups

DOI10.1007/S00009-022-02124-0zbMath1496.20061OpenAlexW4295066576MaRDI QIDQ2675971

Mattia Brescia

Publication date: 26 September 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02124-0

zbMATH Keywords

finite simple groupsdouble chain condition\(T\)-groups\(FC\)-groups

Mathematics Subject Classification ID

Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) FC-groups and their generalizations (20F24)

Cites Work

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• Groups satisfying the double chain condition on subnormal subgroups
• The vanishing of certain homology and cohomology groups
• Groups satisfying the double chain condition on non-subnormal subgroups
• A chain condition for groups
• The structure of finite groups in which permutability is a transitive relation
• Gruppen, in denen das Normalteilersein transitiv ist.
• GROUPS SATISFYING THE DOUBLE CHAIN CONDITION ON ABELIAN SUBGROUPS
• Groups satisfying the double chain condition on non-abelian subgroups

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