L-presentations and branch groups
群论
2009-11-27 v3
摘要
We introduce L-presentations: group presentations given by a generating set, a set of relations and a set of substitution rules on the generating set producing more relations. We first study in full generality the structure of finitely L-presented groups, i.e. groups for which all the above sets are finite, and then show that a broad class of groups acting on rooted trees admit explicitly constructible finite L-presentations: they are the "branch" groups defined by R. Grigorchuk.
引用
@article{arxiv.math/0007062,
title = {L-presentations and branch groups},
author = {Laurent Bartholdi},
journal= {arXiv preprint arXiv:math/0007062},
year = {2009}
}