On a strongly embedded infinitely isolated subgroup of a periodic group

DOI10.1007/BF01978662zbMath0546.20034OpenAlexW2025084522MaRDI QIDQ798438

A. N. Izmajlov

Publication date: 1983

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187211

zbMATH Keywords

Sylow 2-subgroupsinvolutionscentralizergeneralized quaternion groupsnon-simplicitynormal Abelian subgroupstrongly embedded infinite isolated subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (1)

On Shunkov groups with a strongly embedded subgroup.

Cites Work

• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
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