Two nonsimplicity criteria for groups with an infinitely isolated subgroup

DOI10.1007/BF01982204zbMath0536.20022MaRDI QIDQ791650

A. N. Izmajlov, V. P. Shunkov

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/187197

zbMATH Keywords

periodic groupslocally finite groupsChernikov's minimum probleminfinitely isolated subgroupstrongly embedded 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 (2)

Groups with a strongly embedded subgroup saturated with finite simple non-abelian groups ⋮ On Shunkov groups with a strongly embedded subgroup.

Cites Work

• Some remarks on Cernikov \(p\)-groups
• Infinite groups saturated by Frobenius subgroups
• Solvability of groups of odd order
• On locally finite groups of finite rank
• AN AXIOMATIC METHOD OF CONSTRUCTING GROUPS WITH GIVEN PROPERTIES
• On the Triangular Form of a Linear Transformation
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