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Turkish Journal of Mathematics

DOI

10.3906/mat-1501-70

Abstract

In this paper, we prove that if $G$ is nonabelian and $ G >p^4$, then $G$ has a unique cyclic subgroup of order $p^m$ with $m\geq 3$ if and only if $G$ has a unique abelian subgroup of order $p^3$ if and only if $G$ is a $2$-group of maximal class.

First Page

244

Last Page

249

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