The Reidemeister spectrum of ZM-groups
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917201441718272 |
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| author | Tărnăuceanu, Marius |
| author_facet | Tărnăuceanu, Marius |
| contents | Given a group $G$ and an automorphism $φ$ of $G$, two elements $x,y\in G$ are said to be $φ$-conjugate if $x=gyφ(g)^{-1}$ for some $g\in G$. The number $R(φ)$ of equivalence classes with respect to this relation is called the Reidemeister number of $φ$ and the set $\{R(φ)|φ\in {\rm Aut}(G)\}$ is called the Reidemeister spectrum of $G$. In this paper, we determine the Reidemeister spectrum of ZM-groups, extending some results of \cite{13}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09982 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Reidemeister spectrum of ZM-groups Tărnăuceanu, Marius Group Theory Given a group $G$ and an automorphism $φ$ of $G$, two elements $x,y\in G$ are said to be $φ$-conjugate if $x=gyφ(g)^{-1}$ for some $g\in G$. The number $R(φ)$ of equivalence classes with respect to this relation is called the Reidemeister number of $φ$ and the set $\{R(φ)|φ\in {\rm Aut}(G)\}$ is called the Reidemeister spectrum of $G$. In this paper, we determine the Reidemeister spectrum of ZM-groups, extending some results of \cite{13}. |
| title | The Reidemeister spectrum of ZM-groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2511.09982 |