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math.GR2026
Presentations of the cactus Thompson group
Yuya Kodama, Akihiro Takano
We give infinite and finite presentations of the cactus Thompson group. This group was introduced as by Witzel and Zaremsky, who combined Thompson's group with…
math.GR2026
Distorted and undistorted subgroups of the Lodha-Moore group
Yuya Kodama
We show that the Baumslag-Solitar group is undistorted in the Lodha-Moore group using an explicit lower bound for the word length of . We also show that Thomps…
math.GR2024
Divergence functions of higher-dimensional Thompson's groups
Yuya Kodama
We prove that higher-dimensional Thompson's groups have linear divergence functions. By the work of DruÅ£u, Mozes, and Sapir, this implies none of the asymptotic cones of has…