Finite groups with specific number of cyclic subgroups

2018/05/02 by Kalra, Hemant
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1805.00647

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.

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