Directions and scale-multiplicative semigroups in restricted Burger-Mozes groups
Group Theory
2019-12-06 v2
Abstract
We study the scale function, space of directions and scale-multiplicative semigroups for restricted Burger-Mozes groups. We relate these general notions to intrinsic properties of the group. Among other things, we give a formula for the scale function; relate the space of directions to both the action on the tree and an action on a cube complex; and construct maximal scale-multiplicative semigroups from the space of directions.
Cite
@article{arxiv.1911.08032,
title = {Directions and scale-multiplicative semigroups in restricted Burger-Mozes groups},
author = {Timothy P. Bywaters},
journal= {arXiv preprint arXiv:1911.08032},
year = {2019}
}
Comments
45 pages, V2: minor typographical errors corrected