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arXiv · 2410.07645

Square commutative groups

Weicai Wu·Mingxuan Yang·Yangbo Zhou·Chao Rong
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Abstract

In this paper we first give a necessary and sufficient condition for a group $G$ generated by $n$ elements to be a square commutative group and prove $G$ is a square commutative group if and only if $\widehat{G}$ is an abelian group, then we give conditions for a group generated by two elements, with additional conditions, to be a square commutative group.

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Weicai Wu, Mingxuan Yang, Yangbo Zhou, Chao Rong. 2024-10-10. Square commutative groups. https://arxiv.org/abs/2410.07645

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