Mixed identities, hereditarily separated actions and oscillation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913801363783680 |
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| author | Ivanov, Aleksander Zarzycki, Roland |
| author_facet | Ivanov, Aleksander Zarzycki, Roland |
| contents | Given a topological $G$-space we consider equations with parameters over $G$. In particular we formulate some very general conditions on words with parameters $w(\bar{y},\bar{g})$ over $G$ which guarantee that the inequality $w(\bar{y},\bar{g})\neq 1$ has a solution in $G$. These results are illustrated in some typical situations, in particular standard actions of Thompson's group $F$ and branch groups are considered.
The major results of this paper appeared in some form in Section 2 of the PhD thesis of the second author (avalable at arXiv:1308.6330). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_09151 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Mixed identities, hereditarily separated actions and oscillation Ivanov, Aleksander Zarzycki, Roland Group Theory 20F38, 22F05: 54H15 Given a topological $G$-space we consider equations with parameters over $G$. In particular we formulate some very general conditions on words with parameters $w(\bar{y},\bar{g})$ over $G$ which guarantee that the inequality $w(\bar{y},\bar{g})\neq 1$ has a solution in $G$. These results are illustrated in some typical situations, in particular standard actions of Thompson's group $F$ and branch groups are considered. The major results of this paper appeared in some form in Section 2 of the PhD thesis of the second author (avalable at arXiv:1308.6330). |
| title | Mixed identities, hereditarily separated actions and oscillation |
| topic | Group Theory 20F38, 22F05: 54H15 |
| url | https://arxiv.org/abs/2207.09151 |