A Characterization of Infinite Cyclic Groups

DOI10.2307/2691160zbMath1001.20026OpenAlexW4210588908MaRDI QIDQ2773165

Charles Lanski

Publication date: 17 December 2002

Full work available at URL: https://doi.org/10.2307/2691160

zbMATH Keywords

subgroups of finite indexinfinite cyclic groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34)

Related Items (6)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Characterization of locally compact groups by closed totally disconnected subgroups ⋮ A Characterization of the Cyclic Groups by Subgroup Indices ⋮ Unnamed Item ⋮ Characterization of topological groups by discrete cocompact subgroups ⋮ Characterization of non-compact locally compact groups by cocompact subgroups

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