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Conjugator length in Thompson's groups by Belk, James; Matucci, Francesco is a scholarly article available to read on EtoBox.

What is Conjugator length in Thompson's groups about?

We prove Thompson's group $F$ has quadratic conjugator length function. That is, for any two conjugate elements of $F$ of length $n$ or less, there exists an element of $F$ of length $O(n^2)$ that conjugates one to the other. Moreover, there exist conjugate pairs of elements of $F$ of length at most $n$ such that the shortest conjugator between them has length $\Omega(n^2)$. This latter statement holds for $T$ and $V$ as well.

Author

Belk, James; Matucci, Francesco

Published

2021

Language

EN