Square commutative groups
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912099378135040 |
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| author | Wu, Weicai Yang, Mingxuan Zhou, Yangbo Rong, Chao |
| author_facet | Wu, Weicai Yang, Mingxuan Zhou, Yangbo Rong, Chao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07645 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Square commutative groups Wu, Weicai Yang, Mingxuan Zhou, Yangbo Rong, Chao Group Theory Quantum Algebra 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. |
| title | Square commutative groups |
| topic | Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2410.07645 |