Periodic groups acting freely on abelian groups.

DOI10.1134/S008154381405023XzbMath1307.20027MaRDI QIDQ471017

J. Herrera, Sumit K. Garg

Publication date: 13 November 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic groupslocally finite groupsfixed point free automorphismsfree actions on Abelian groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (9)

Unnamed Item ⋮ On groups with involutions saturated by finite Frobenius groups ⋮ Central extensions of free periodic groups ⋮ On groups with a Frobenius element ⋮ Abelian groups with monomorphisms invariant with respect to epimorphisms ⋮ On groups with Frobenius elements. ⋮ Groups saturated with finite Frobenius groups ⋮ On \(\{2,3\}\)-groups without elements of order 6. ⋮ \(\{2,3\}\)-groups with no elements of order 6.

Cites Work

• Periodic groups acting freely on Abelian groups.
• On the structure of the noninvariant factor in some Frobenius groups
• On a class of \(p\)-groups
• Frobenius complements of exponent dividing 2 m · 9
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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