5 papers
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…
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…
Metrics for quandles
Kohei Iwamoto, Ryoya Kai, Yuya Kodama
A quandle is an algebraic system originating in knot theory, which can be regarded as a generalization of the conjugation of groups. This structure naturally defines two subgroups…
The Lodha--Moore groups and their -adic generalizations are not SCY
Yuya Kodama, Akihiro Takano
A closed 4-manifold is symplectic Calabi--Yau (SCY) if its canonical class is trivial. Friedl and Vidussi proved that Thompson's group cannot be the fundamental group of any SC…
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…