On a finite state representation of $GL(n,\mathbb{Z})$
Group Theory
2023-09-06 v1
Abstract
It is examined finite state automorphisms of regular rooted trees constructed to represent groups . The number of states of automorphisms that correspond to elementary matrices is computed. Using the representation of over an alphabet of size a finite state representation of the free group of rank over binary alphabet is constructed.
Keywords
Cite
@article{arxiv.2309.01241,
title = {On a finite state representation of $GL(n,\mathbb{Z})$},
author = {Andriy Oliynyk and Veronika Prokhorchuk},
journal= {arXiv preprint arXiv:2309.01241},
year = {2023}
}