Polyhedral products, and relations in the commutator subgroup of a right-angled Coxeter group
| Autor: | Ilyasova, Marina |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | We give a criterion of the existence of a presentation with a single relation for the commutator subgroup $RC_{\mathscr{K}}'$ of a right-angled Coxeter group $RC_{\mathscr{K}}$. Namely, we prove that $RC_{\mathscr{K}}'$ is a one-relator group if and only if $\mathscr{K}$ is either a $p$-cycle with $p\geqslant4$ or has the form ($p$-cycle)$*\Delta^q$ with $p\geqslant4$ and $g\geqslant0$, where $\Delta^q$ is a $q$-simplex. Comment: This paper has been subsumed into arXiv:2002.11476 |
| Databáze: | arXiv |
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