Witzel S, Zaremsky MCB. The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND DYNAMICS. 2019;13(4):1255-1270.We show that the Basilica Thompson group introduced by Belk and Forrest is not finitely presented, and in fact is not of type FP2. The proof involves developing techniques for proving non-simple connectedness of certain subcomplexes of CAT(0) cube complexes
In ‘Groups acting on connected cubes and Kazhdan’s property T’, [29], Niblo and Roller showed that a...
We show that the group H2.SL2.ZŒt; t1/IZ / is not finitely generated, answering a question mentioned...
This thesis presents a construction of a new class of groups that are type FP but are not finitely p...
This MPhil thesis explores groups acting on CAT(0)-cube complexes X- in particular, non-uniform latt...
We describe a Thompson-like group of homeomorphisms of the Basilica Julia set. Each element of this ...
AbstractProperty A is a non-equivariant analogue of amenability defined for metric spaces. Euclidean...
We construct an uncountable family of groups of type FP. In contrast to every previous construction...
In 1929 the mathematician and physicist John von Neumann isolated an analytic property of groups fro...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
Abstract. Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclide...
Leighton's graph covering theorem states that two finite graphs with common universal cover have a c...
In this thesis, we explore several areas of geometric topology. We first prove that all groups G whi...
AbstractWe prove a Bożejko–Picardello type inequality for finite-dimensional CAT(0) cube complexes a...
In this article, we introduce and investigate bucolic complexes, a common generalization of systolic...
We exhibit explicit infinite families of finitely presented, Kazhdan, simple groups that are pairwis...
In ‘Groups acting on connected cubes and Kazhdan’s property T’, [29], Niblo and Roller showed that a...
We show that the group H2.SL2.ZŒt; t1/IZ / is not finitely generated, answering a question mentioned...
This thesis presents a construction of a new class of groups that are type FP but are not finitely p...
This MPhil thesis explores groups acting on CAT(0)-cube complexes X- in particular, non-uniform latt...
We describe a Thompson-like group of homeomorphisms of the Basilica Julia set. Each element of this ...
AbstractProperty A is a non-equivariant analogue of amenability defined for metric spaces. Euclidean...
We construct an uncountable family of groups of type FP. In contrast to every previous construction...
In 1929 the mathematician and physicist John von Neumann isolated an analytic property of groups fro...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
Abstract. Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclide...
Leighton's graph covering theorem states that two finite graphs with common universal cover have a c...
In this thesis, we explore several areas of geometric topology. We first prove that all groups G whi...
AbstractWe prove a Bożejko–Picardello type inequality for finite-dimensional CAT(0) cube complexes a...
In this article, we introduce and investigate bucolic complexes, a common generalization of systolic...
We exhibit explicit infinite families of finitely presented, Kazhdan, simple groups that are pairwis...
In ‘Groups acting on connected cubes and Kazhdan’s property T’, [29], Niblo and Roller showed that a...
We show that the group H2.SL2.ZŒt; t1/IZ / is not finitely generated, answering a question mentioned...
This thesis presents a construction of a new class of groups that are type FP but are not finitely p...
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