On non-periodic groups whose finitely generated subgroups are either permutable or pronormal

DOI10.21136/MB.2013.143230zbMATH Open1264.20029OpenAlexW2961243870MaRDI QIDQ4922251

T. I. Ermolkevich, L. A. Kurdachenko, I. Ya. Subbotin

Publication date: 29 May 2013

Full work available at URL: http://mb.math.cas.cz/mb138-1/

zbMATH Keywords

finitely generated subgroupspronormal subgroupspermutable subgroupsgeneralized radical groupsabnormal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

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