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arXiv · 2106.07205

Commutators in groups of order $p^7$

Rahul Kaushik·Manoj K. Yadav
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Abstract

We present a characterisation of groups $G$ of order $p^7$, $p$ prime, in which not all elements of the commutator subgroup $\gamma_2(G)$ of $G$ are commutators in $G$. On the way we obtain several structural results on groups of order $p^7$.

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Rahul Kaushik, Manoj K. Yadav. 2021-06-14. Commutators in groups of order $p^7$. https://arxiv.org/abs/2106.07205

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