Groups with the Minimal Conditions for Subgroups and for Nonabelian Subgroups

2007/10/10 by Н. С. Черников, Chernikov, N. S.
Mathematics · #Differential Equations and Boundary Problems #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0710.1979

openalex publication_date 2007/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For some very wide classes \mathfrakD and \mathfrakB⊂\mathfrakD of groups, the author proves that an arbitrary (nonabelian) group G∈ \mathfrakD (respectively G∈ \mathfrakB) satisfies the minimal condition for (nonabelian) subgroups iff it is Chernikov

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