On the Gap Conjecture concerning group growth
Group Theory
2012-09-19 v2
Abstract
We discuss some new results concerning Gap Conjecture on group growth and present a reduction of it (and its *-version) to several special classes of groups. Namely we show that its validity for the classes of simple groups and residually finite groups will imply the Gap Conjecture in full generality. A similar type reduction holds if the Conjecture is valid for residually polycyclic groups and just-infinite groups. The cases of residually solvable groups and right orderable groups are considered as well.
Cite
@article{arxiv.1202.6044,
title = {On the Gap Conjecture concerning group growth},
author = {Rostislav Grigorchuk},
journal= {arXiv preprint arXiv:1202.6044},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1111.0512