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| Main Authors: | , , , |
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| Formato: | Preprint |
| Publicado em: |
2021
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| Assuntos: | |
| Acesso em linha: | https://arxiv.org/abs/2103.16366 |
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Sumário:
- Let $G$ be a group. We denote by $ν(G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$. In this paper we prove that the derived subgroup $ν(G)'$ is a central product of three normal subgroups of $ν(G)$, all isomorphic to the non-abelian tensor square $G \otimes G$. As a consequence, we describe the structure of each term of the derived and lower central series of the group $ν(G)$.