Square commutative groups

Weicai Wu; Mingxuan Yang; Yangbo Zhou; Chao Rong

Square commutative groups

Group Theory 2024-11-04 v2 Quantum Algebra

Authors: Weicai Wu , Mingxuan Yang , Yangbo Zhou , Chao Rong

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.

Keywords

wreath product of groups permutation groups

Cite

@article{arxiv.2410.07645,
  title  = {Square commutative groups},
  author = {Weicai Wu and Mingxuan Yang and Yangbo Zhou and Chao Rong},
  journal= {arXiv preprint arXiv:2410.07645},
  year   = {2024}
}

Comments

10 pages, added Corollary 2.8, Corollary 3.5 and Theorem 4.8

Square commutative groups

Abstract

Keywords

Cite

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