\(M_p\)-groups not containing groups of quaternions.

DOI10.3103/S1066369X14020030zbMath1325.20032OpenAlexW2048374749MaRDI QIDQ468073

V. P. Shunkov, V. I. Senashov, S. N. Kozulin

Publication date: 5 November 2014

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14020030

zbMATH Keywords

Frobenius groupsfiniteness conditionsChernikov groups\(M_p\)-groupscriteria for nonsimplicityextensions of complete Abelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Other classes of groups defined by subgroup chains (20F22) Local properties of groups (20E25)

Cites Work

• \(M_ p\)-groups
• Groups with finite rank elements
• Infinite groups saturated by Frobenius subgroups
• Groups with handles of order different from three
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