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- W2797506985 abstract "In this article, we determine the function $ell(S_{g, p})$ such that the right-angled Artin group $G(P_{m})$ is embedded in the mapping class group $mathrm{Mod}(S_{g, p})$ if and only if $m$ is not more than $ell(S_{g, p})$. Using this function and Birman--Hilden theory, we prove that $mathrm{Mod}(S_{0, p})$ is virtually embedded in $mathrm{Mod}(S_{g, 0})$ if and only if $p leq 2g+2$." @default.
- W2797506985 created "2018-04-24" @default.
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- W2797506985 date "2018-04-10" @default.
- W2797506985 modified "2023-09-23" @default.
- W2797506985 title "The RAAGs on the complement graphs of path graphs in mapping class groups" @default.
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- W2797506985 doi "https://doi.org/10.48550/arxiv.1804.03470" @default.
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