Achiral words
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912130763063296 |
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| author | Singh, Shrinit Reddy, A. Satyanarayana |
| author_facet | Singh, Shrinit Reddy, A. Satyanarayana |
| contents | A word $w$ in a free group is {\em achiral} if for every group $G,$ $G_w=G_{w^{-1}},$ where $G_w$ is the image of the word map $w$ on $G.$ We will give few classes of examples of achiral words. Cocke and Ho asked whether Engel words are achiral or not. We will prove that it is enough to apply Whitehead's algorithm to check the same. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02761 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Achiral words Singh, Shrinit Reddy, A. Satyanarayana Group Theory Combinatorics 20F10 A word $w$ in a free group is {\em achiral} if for every group $G,$ $G_w=G_{w^{-1}},$ where $G_w$ is the image of the word map $w$ on $G.$ We will give few classes of examples of achiral words. Cocke and Ho asked whether Engel words are achiral or not. We will prove that it is enough to apply Whitehead's algorithm to check the same. |
| title | Achiral words |
| topic | Group Theory Combinatorics 20F10 |
| url | https://arxiv.org/abs/2302.02761 |