Automatic Quotients of Free Groups
Group Theory
2007-05-23 v3
Abstract
Automatic groups admitting prefix closed automatic structures with uniqueness are characterized as the quotients of free groups by normal subgroups possessing sets of free generators satisfying certain language-theoretic conditions.
Cite
@article{arxiv.math/0305065,
title = {Automatic Quotients of Free Groups},
author = {Robert H. Gilman},
journal= {arXiv preprint arXiv:math/0305065},
year = {2007}
}
Comments
14 pages, no figures. Minor corrections. Statements of theorems and lemmas are unchanged