Automorphisms of solvable groups
From MaRDI portal
Publication:5925145
DOI10.1016/0021-8693(64)90022-5zbMath0123.02602OpenAlexW1966100986MaRDI QIDQ5925145
Publication date: 1964
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(64)90022-5
Related Items (62)
On a relation between the Fitting length of a soluble group and the number of conjugacy classes of its maximal nilpotent subgroups ⋮ Exponent of a finite group admitting a coprime automorphism of prime order ⋮ On \(\mathbb Z_6\)-graded Lie rings ⋮ Finite groups admitting fixed point free automorphisms of order pq ⋮ ON SOLUBILITY OF GROUPS WITH BOUNDED CENTRALIZER CHAINS ⋮ Finite groups with an automorphism of prime order whose centralizer has small rank. ⋮ Lie algebras with almost constant-free derivations ⋮ Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity ⋮ Unnamed Item ⋮ Pull-Backs of Formation Projectors ⋮ Fitting height of groups and of fixed points ⋮ Solvable Groups Admitting a Fixed-Point-Free Automorphism of Prime Power Order ⋮ WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS ⋮ Exponent of a finite group admitting a coprime automorphism ⋮ Periodic locally soluble groups with the minimal condition on centralizers ⋮ Commutators and pronilpotent subgroups in profinite groups. ⋮ Good action on a finite group ⋮ Fitting height of a finite group with a Frobenius group of automorphisms. ⋮ Finite groups with a soluble group of coprime automorphisms whose fixed points have bounded Engel sinks ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity ⋮ Involutory Automorphisms of Groups of odd Order and Their Fixed Point Groups ⋮ Locally finite groups containing a \(2\)-element with Chernikov centralizer. ⋮ Automorphisms and Fitting factors of finite groups ⋮ Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms. ⋮ Finite Groups and Lie Rings with an Automorphism of Order 2n ⋮ Involutory automorphisms of groups of odd order ⋮ On Groups Admitting a Fixed-Point-Free Elementary 2-Group of Automorphisms ⋮ On fixed-point-free automorphisms. ⋮ Fixed points of coprime operator groups. ⋮ Centralizers of involutory automorphisms of groups of odd order. ⋮ On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order. ⋮ Carter subgroups and Fitting heights of finite groups ⋮ Engel sinks of fixed points in finite groups ⋮ On a conjecture of Thompson ⋮ Nilpotent length of a finite group admitting a Frobenius group of automorphisms with fixed-point-free kernel. ⋮ Finite 𝑝-groups with a Frobenius group of automorphisms whose kernel is a cyclic 𝑝-group ⋮ ON THE CENTRALIZER OF AN ELEMENT OF ORDER FOUR IN A LOCALLY FINITE GROUP ⋮ Fitting lengths of groups with automorphisms ⋮ Finite groups admitting a fixed-point-free 2-automorphism ⋮ Automorphisms of soluble groups ⋮ Profinite groups in which centralizers are virtually procyclic ⋮ Auflösbare Gruppen, die eine abelsche Automorphismengruppe gestatten, deren Fixpunktgruppe nilpotent ist ⋮ Compact groups in which all elements have countable right Engel sinks ⋮ On finite groups of exponent \(p^ m q^ n\) ⋮ Endliche Gruppen mit einem Automorphismus,, dessen Fixpunktgruppe eine Sylow-Turmgruppe ist ⋮ Unnamed Item ⋮ On the Carter subgroup of a solvable group ⋮ \(p\)-Automorphismen von auflösbaren \(p\)-Gruppen ⋮ On groups with cyclic Carter subgroups ⋮ On \(f\)-hypercentral actions of finite group ⋮ An infinite compact Hausdorff group has uncountably many conjugacy classes ⋮ Profinite groups with an automorphism of prime order whose fixed points have finite Engel sinks ⋮ Nilpotent fixed point free automorphism groups of solvable groups ⋮ ON THE STRUCTURE OF SOLUBLE GRADED LIE ALGEBRAS ⋮ Almost regular automorphisms ⋮ Auflösbare Gruppen auf denen nicht auflösbare Gruppen operieren ⋮ Nonsoluble length of finite groups. ⋮ On periodic residually finite \(F^*_ p\)-groups ⋮ Generic fixed point free action of arbitrary finite groups ⋮ On the length of finite groups and of fixed points ⋮ Two Applications of Twisted Wreath Products to Finite Soluble Groups ⋮ On finite groups with automorphisms whose fixed points are Engel.
This page was built for publication: Automorphisms of solvable groups
