Finite groups of automorphisms of locally soluble groups

DOI10.1016/0021-8693(79)90222-9zbMath0406.20032OpenAlexW2071589678MaRDI QIDQ1257553

Brian Hartley

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90222-9

zbMATH Keywords

Finite Groups of Automorphisms of Locally Soluble GroupsPeriodic Locally Soluble Group of Infinite Rank

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Local properties of groups (20E25)

Related Items

A new characterization of Frobenius complements, Properties of groups inherited by normal subgroups, A combinatorial property of certain infinite groups, Groups with many abelian or self-normalizing subgroups, Groups in which every subgroup of infinite rank is almost permutable, Nil-automorphisms of groups with residual properties., On locally finite groups whose subgroups of infinite rank have some permutable property, On periodic groups of Shunkov with the Chernikov centralizers of involutions, Locally finite groups with Cernikov centralizers, Large norms in group theory, A finiteness condition on non-nilpotent subgroups, Groups in which all subgroups of infinite special rank have bounded near defect, On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order., A finiteness condition on subgroups of large derived length., Some remarks on unipotent automorphisms, Characterization of generalized Chernikov groups among groups with involutions, Locally graded groups, factorizable by subgroups of finite rank, Infinite groups with many complemented subgroups, Finite groups of matrices over division rings, Normal and subnormal subgroups in the group of units of group rings, A constructive approach to accessible group classes, О некоторых классах групп конечного метабелева ранга

Cites Work

• On groups in which every subgroup is subnormal
• On finite soluble groups
• Strong finiteness conditions in locally finite groups
• Locally solvable groups of finite rank. II
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item