Finite groups with a prescribed number of cyclic subgroups

Authors

Richard G. Belshoff, Missouri State UniversityFollow
Joseph Dillstrom, MSU Graduate Student
Les Reid, Missouri State UniversityFollow

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

Recommended Citation

Belshoff, Richard, Joe Dillstrom, and Les Reid. "Finite groups with a prescribed number of cyclic subgroups." Communications in Algebra 47, no. 3 (2019): 1043-1056.

Journal Title

Communications in Algebra