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- W4297415522 abstract "Golan and Sapir cite{MR3978542} proved that the Thompson's groups $F$, $T$ and $V$ have linear divergence. In the current paper, we focus on the divergence properties of several generalisation of the Thompson's groups, we first consider the Brown-Thompson's groups $F_n$, $T_n$ and $V_n$ and found out that these groups also have linear divergence function. We then consider the braided Thompson's groups $BF$ and $widehat{BF}$ and $widehat{BV}$ together with the result in cite{Kodama:2020to} we conclude that theses groups have linear divergence." @default.
- W4297415522 created "2022-09-28" @default.
- W4297415522 creator A5055240552 @default.
- W4297415522 date "2021-06-29" @default.
- W4297415522 modified "2023-09-24" @default.
- W4297415522 title "Divergence properties of the generalised Thompson groups and the braided-Thompson groups" @default.
- W4297415522 doi "https://doi.org/10.48550/arxiv.2106.15571" @default.
- W4297415522 hasPublicationYear "2021" @default.
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