Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Button, J O"'
Autor:
Button, J. O.
We give necessary and sufficient conditions under which a quasi-action of any group on an arbitrary metric space can be reduced to a cobounded isometric action on some bounded valence tree, following a result of Mosher, Sageev and Whyte. Moreover if
Externí odkaz:
http://arxiv.org/abs/2305.13105
Autor:
Button, J. O.
We look at isometric actions on arbitrary hyperbolic spaces of generalised Baumslag - Solitar groups of arbitrary dimension (the rank of the free abelian vertex and edge subgroups). It is known that being a hierarchically hyperbolic group is not a qu
Externí odkaz:
http://arxiv.org/abs/2208.12688
Autor:
Button, J. O.
A group with a geometric action on some hyperbolic space is necessarily word hyperbolic, but on the other hand every countable group acts (metrically) properly by isometries on a locally finite hyperbolic graph. In this paper we consider what happens
Externí odkaz:
http://arxiv.org/abs/2111.13427
Autor:
Button, J. O.
We consider the class of countable groups possessing an action on a finite product of hyperbolic graphs where every infinite order element acts loxodromically. When the graphs are locally finite, we obtain strong structure theorems for the groups in
Externí odkaz:
http://arxiv.org/abs/2009.10575
Autor:
Button, J. O.
We show that a linear group without unipotent elements of infinite order possesses properties akin to those held by groups of non positive curvature. Moreover in positive characteristic any finitely generated linear group acts properly and semisimply
Externí odkaz:
http://arxiv.org/abs/1811.00898
Autor:
Button, J O
We show (using results of Wise and of Woodhouse) that a tubular group is always virtually special (meaning that it has a finite index subgroup embedding in a RAAG) if the underlying graph is a tree. We also adapt Gardam and Woodhouse's argument on tu
Externí odkaz:
http://arxiv.org/abs/1712.00290
Autor:
Button, J. O.
We consider linear groups which do not contain unipotent elements of infinite order, which includes all linear groups in positive characteristic, and show that this class of groups has good properties which resemble those held by groups of non positi
Externí odkaz:
http://arxiv.org/abs/1703.05553
Autor:
Button, J. O.
For $\Sigma$ an orientable surface of finite topological type having genus at least 3 (possibly closed or possibly with any number of punctures or boundary components), we show that the mapping class group $Mod(\Sigma)$ has no faithful linear represe
Externí odkaz:
http://arxiv.org/abs/1610.08464
Autor:
Button, J. O.
For various finitely presented groups, including right angled Artin groups and free by cyclic groups, we investigate what is the smallest dimension of a faithful linear representation. This is done both over C and over fields of positive characterist
Externí odkaz:
http://arxiv.org/abs/1610.03712
Autor:
Button, J. O.
We show, using acylindrical hyperbolicity, that a finitely generated group splitting over $\Z$ cannot be simple. We also obtain SQ-universality in most cases, for instance a balanced group (one where if two powers of an infinite order element are con
Externí odkaz:
http://arxiv.org/abs/1603.05909