Can I read Algebraic Irrational Stable Commutator Length in Finitely Presented Groups on EtoBox?

Algebraic Irrational Stable Commutator Length in Finitely Presented Groups by Fournier-Facio, Francesco; Lodha, Yash is a scholarly article available to read on EtoBox.

What is Algebraic Irrational Stable Commutator Length in Finitely Presented Groups about?

We provide the first example of a finitely presented (in fact, type $F_\infty$) group with elements whose stable commutator length is algebraic and irrational, answering a question of Calegari. Our example is the lift to the real line of the \emph{golden ratio Thompson group} $T_\tau$: the circle analogue of the Cleary's golden ratio Thompson group $F_\tau$ which acts on the interval.

Author

Fournier-Facio, Francesco; Lodha, Yash

Published

2021

Language

EN