Finite groups admitting a fixed-point-free automorphism group

DOI10.1006/jabr.1995.1148zbMath0835.20036OpenAlexW2009103579MaRDI QIDQ1895581

Peter J. Rowley

Publication date: 10 April 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1148

zbMATH Keywords

finite groupsfixed-point-free automorphismsnormal \(p\)-complementscyclic Sylow \(p\)- subgroups

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) Automorphisms of abstract finite groups (20D45) Products of subgroups of abstract finite groups (20D40)

Related Items (30)

Profinite groups with restricted centralizers of \(\pi\)-elements ⋮ Finite groups with a splitting automorphism of odd order. ⋮ A GENERALIZED FIXED POINT FREE AUTOMORPHISM OF PRIME POWER ORDER ⋮ COVERING NUMBERS FOR NON-PERFECT FINITE GROUPS ⋮ Finite groups whose irreducible characters vanish only on \(p\)-elements. ⋮ Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity ⋮ Unnamed Item ⋮ Fixed points of the complements of Frobenius groups of automorphisms. ⋮ Abelian Carter subgroups in finite permutation groups. ⋮ On the probability of generating a monolithic group. ⋮ Reidemeister classes in some weakly branch groups ⋮ Finite groups with a soluble group of coprime automorphisms whose fixed points have bounded Engel sinks ⋮ Commutators, centralizers, and strong conciseness in profinite groups ⋮ Noncoprime action of a cyclic group ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity ⋮ The generating graph of a profinite group ⋮ Fibers of word maps and the multiplicities of non-abelian composition factors ⋮ Reidemeister classes, wreath products, and solvability ⋮ Rota-Baxter operators on groups ⋮ Groups with Anticentral Elements ⋮ Finite groups with an automorphism inverting, squaring or cubing a non-negligible fraction of elements ⋮ Finite Groups and Lie Rings with an Automorphism of Order 2ⁿ ⋮ Covers and normal covers of finite groups. ⋮ A GENERALIZED FIXED-POINT-FREE ACTION ⋮ The Fitting length of finite soluble groups. II: Fixed-point-free automorphisms ⋮ A conjugacy class as a transversal in a finite group ⋮ Squaring a conjugacy class and cosets of normal subgroups ⋮ ON A PROBLEM OF PRAEGER AND SCHNEIDER ⋮ Finite groups with an automorphism that is a complete mapping ⋮ Characteristic classes of involutions in nonsolvable groups

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