Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length
Group Theory
2010-09-08 v4
Abstract
It is shown that there exist finitely generated infinite simple groups of infinite commutator width and infinite square width on which there exists no stably unbounded conjugation-invariant norm, and in particular stable commutator length vanishes. Moreover, a recursive presentation of such a group with decidable word and conjugacy problems is constructed.
Keywords
Cite
@article{arxiv.0909.2294,
title = {Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length},
author = {Alexey Muranov},
journal= {arXiv preprint arXiv:0909.2294},
year = {2010}
}
Comments
v4: 41 pages, 6 figures rescaled at 120%; references updated, typos corrected, other minor corrections. v3: minor changes to the title, text and figures. v2: 41 pages, 6 figures; correction: Ore's conjecture was proved in 2008; 2 references added. v1: 40 pages, 6 figures