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