Finite groups with a prescribed number of cyclic subgroups

Abstract

Marius Tărnăuceanu described the finite groups G having |G|−1 cyclic subgroups. We describe the finite groups G having |G|−Δ cyclic subgroups for Δ=2,3,4, and 5.

Document Type

Article

DOI

https://doi.org/10.1080/00927872.2018.1499923

Keywords

cyclic subgroups, finite group theory, structure of finite groups

Publication Date

2018

Journal Title

Communications in Algebra

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