Finite groups with specific number of cyclic subgroups
Group Theory
2018-05-08 v2
Abstract
In this note, we classify all finite groups having exactly 6, 7 or 8 cyclic subgroups. This gives a partial answer to the open problem posed by Tarnauceanu (Amer. Math. Monthly, 122 (2015), 275-276). As a consequence of our results, we also obtain an important result concerning with the converse of Lagrange's theorem.
Cite
@article{arxiv.1805.00647,
title = {Finite groups with specific number of cyclic subgroups},
author = {Hemant Kalra},
journal= {arXiv preprint arXiv:1805.00647},
year = {2018}
}
Comments
Statement of the Theorem 3.5 has been changed