INFINITE TORSION GROUPS AS AUTOMORPHISM GROUPS

DOI10.1093/QMATH/30.3.351zbMath0418.20031OpenAlexW2071777326MaRDI QIDQ3208880

Derek J. S. Robinson

Publication date: 1979

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/30.3.351

zbMATH Keywords

minimal condition on subgroupsfull automorphism groups of groupsperiodic nilpotent groupinfinite Chernikov groupelements of finite order form a subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (15)

Central automorphisms of periodic groups ⋮ Periodic divisible-by-finite automorphism groups are finite ⋮ On torsion groups with nilpotent automorphism groups ⋮ Countable torsion FC-groups as automorphism groups ⋮ Freely decomposable automorphism groups ⋮ Infinite locally dihedral groups as automorphism groups. ⋮ Minimal non-nilpotent groups as automorphism groups ⋮ Some finiteness conditions for automorphism groups ⋮ Automorphisms of groups ⋮ Countable periodic CC-groups as automorphism groups ⋮ Free-by-finite cyclic automorphism groups ⋮ Some remarks on central automorphisms of hypercentral groups ⋮ On central automorphisms of finite-by-nilpotent groups ⋮ Groups with prescribed automorphism group ⋮ Locally finite groups as automorphism groups

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