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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.GR2023
The -colorable subgroup of Thompson's group
Yuya Kodama, Akihiro Takano
Recently, Jones introduced a method of constructing knots and links from elements of Thompson's group by using its unitary representations. He also defined several subgroups of…
math.GR2022
Twisted Alexander invariants for the braid group associated with the Tong-Yang-Ma representation
Akihiro Takano
In this paper, we compute the twisted Alexander invariant of the braid group associated with the Tong-Yang-Ma representation.