Directions and scale-multiplicative semigroups in restricted Burger-Mozes groups

2019/11/19 by Bywaters, Timothy P.
#20E08 #22D05 #22F50 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1911.08032

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 CAT(0) cube complex; and construct maximal scale-multiplicative semigroups from the space of directions.

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