On automorphisms fixing non-normal subgroups of groups

DOI10.1007/BF01195089zbMath0839.20043OpenAlexW2084782682MaRDI QIDQ1901982

Francesco de Giovanni, Hermann Heineken, Silvana Franciosi

Publication date: 10 January 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195089

zbMATH Keywords

periodic groupselements of finite orderSylow \(p\)-subgroupscentral automorphismspower automorphismsAbelian subgroup of index 2automorphisms fixing non-normal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphisms of infinite groups (20E36)

Cites Work

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• Groups with anomalous automorphisms
• Finite groups in which the non-normal subgroups have nontrivial intersection
• Power automorphisms of a group
• Quasi-power automorphisms of infinite groups
• Endliche Gruppen I

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