On finite groups all of whose elements of the same order are conjugate in their automorphism groups

DOI10.1016/0021-8693(92)90146-DzbMath0767.20009MaRDI QIDQ1204389

Ji Ping Zhang

Publication date: 28 March 1993

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

zbMATH Keywords

Sylow 2-subgroupsSuzuki groupsclassification of finite simple groupsfinite \(AT\)-groupssimple \(AT\)- groupsolvable \(AT\)-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)

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TI subgroups and depth 3 subgroups in simple Suzuki groups, Finite structures with prescribed numbers of orbits of their automorphism group., Virtually nilpotent groups with finitely many orbits under automorphisms, Finite groups with six or seven automorphism orbits, Isomorphisms of finite Cayley digraphs of bounded valency, On finite solvable groups whose cyclic \(p\)-subgroups of equal order are conjugate., Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster, The isomorphism of generalized Cayley graphs on finite non-abelian simple groups, Finite groups satisfying the independence property, The finite simple groups with at most two fusion classes of every order, The finite groups with the 2-dci property, Isomorphic subgroups, Finite groups in which any two elements of the same order are either fused or inverse-fused, On Finite Groups with Few Automorphism Orbits, FC-groups with finitely many automorphism orbits, On finite groups with the Cayley isomorphism property. II, Finite Groups with Conjugacy Classes Number One Greater than Its Same Order Classes Number, On Finite Groups in Which Cyclic Subgroups of the Same Order are Conjugate, Finite groups with only small automorphism orbits, On isomorphisms of connected Cayley graphs, III, Isomorphisms of finite Cayley digraphs of bounded valency. II

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