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Kairan Yang and Rulin Shen, A note on the number of cyclic subgroups of p-groups, Eur. J. Math. Appl. 1 (2021), Article ID 7.

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Volume 1 (2021), Article ID 7

https://doi.org/10.28919/ejma.2021.1.7

Published: 01/10/2021

Abstract:

Let $G$ be a finite group and $c(G)$ the number of its cyclic subgroups. In this paper we prove that if $|G|=p^n$ then $c(G)\equiv n+1 (\rm{mod}~ $p-1$)$.

How to Cite:

Kairan Yang and Rulin Shen, A note on the number of cyclic subgroups of p-groups, Eur. J. Math. Appl. 1 (2021), Article ID 7. https://doi.org/10.28919/ejma.2021.1.7