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- W4299122009 abstract "In cite{HigherGnk}, the author has constructed natural maps from fundamental groups of topological spaces (restricted configuration spaces) to the groups $G_{n}^{k}$. In the present paper, we show that in the case of $n=k+1$, the group $G_{k+1}^{k}$ is isomorphic to the fundamental group of some (quotient space of) some configuration space. In particular, this leads to the solution of word and conjugacy problems in $G_{4}^{3}$ and sheds light on $G_{k+1}^{k}$ for higher $k$." @default.
- W4299122009 created "2022-10-02" @default.
- W4299122009 creator A5018344226 @default.
- W4299122009 date "2018-03-03" @default.
- W4299122009 modified "2023-09-23" @default.
- W4299122009 title "The groups $G_{k+1}^{k}$ and fundamental groups of configuration spaces" @default.
- W4299122009 doi "https://doi.org/10.48550/arxiv.1803.01195" @default.
- W4299122009 hasPublicationYear "2018" @default.
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