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20092026
most citedIrrational-slope versions of Thompson's groups and

2 citations · 3 across the 4 of their papers we have counts for

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math.GR2026

On cohomological dimensions of totally disconnected locally compact groups

Ilaria Castellano, Nadia Mazza, Brita Nucinkis

In this paper, we introduce Mackey functors for a t.d.l.c. group and define the cohomological dimension of this group over the Mackey category. We then compare this dimension to th…

math.GR20202 cited

Irrational-slope versions of Thompson's groups and

José Burillo, Brita Nucinkis, Lawrence Reeves

In this paper we consider the - and - versions, and , of the irrational slope Thompson group considered in [3]. We give infinite presentations for these gro…

math.GR2018

An Irrational-slope Thompson's Group

José Burillo, Brita Nucinkis, Lawrence Reeves

The purpose of this paper is to study the properties of the irrational-slope Thompson's group introduced by Cleary in 1995. We construct presentations, both finite and infini…

math.GR2016

On the dimension of classifying spaces for families of abelian subgroups

Ged Corob Cook, Victor Moreno, Brita Nucinkis +1

We show that a finitely generated abelian group of torsion-free rank admits a dimensional model for the classifying space with isotropy in the family of subgrou…

math.GR20091 cited

Centralisers of Finite Subgroups in Soluble Groups of Type FP_n

D. H. Kochloukova, C. Martinez-Perez, B. E. A. Nucinkis

We show that for soluble groups of type FPn, centralisers of finite subgroups need not be of type FPn.

math.GR2009

On groups acting on contractible spaces with stabilizers of prime power order

Ian J. Leary, Brita E. A. Nucinkis

We study actions of discrete groups on contractible topological spaces in which either (1) all stabilizers lie in the family of subgroups of prime power order or (2) all stabilizer…