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Divergence functions
of higher-dimensional Thompson's groups
Yuya Kodama |
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Vol. 333 (2024), No. 2, 309–329
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Abstract |
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We prove that higher-dimensional Thompson’s groups have linear divergence functions. By the work of Druţu, Mozes, and Sapir, this implies none of the asymptotic cones of has a cut-point. |
Keywords
divergence function, higher-dimensional Thompson's groups,
asymptotic cones
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Mathematical Subject Classification
Primary: 20F65
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Milestones
Received: 7 June 2024
Revised: 16 December 2024
Accepted: 18 December 2024
Published: 28 December 2024
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Authors |
| Yuya Kodama | |
| Graduate School of Science and
Engineering Kagoshima University Kagoshima 890-0065 Japan |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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