14 citations · 56 across the 13 of their papers we have counts for
15 papers
On the -invariants of Artin groups satisfying the -conjecture
Marcos Escartín Ferrer, Conchita Martínez Pérez
We consider -invariants of Artin groups that satisfy the -conjecture. These invariants determine the cohomological finiteness conditions of subgroups that contain the de…
Representations of pure symmetric automorphism groups of RAAGs
Javier Aramayona, Conchita Martínez Pérez
We study representations of the pure symmetric automorphism group of a RAAG with defining graph . We first construct a homomorphism from to the dir…
Trees, homology, and automorphism groups of RAAGs
Javier Aramayona, José L. Fernández, Pablo Fernández +1
We study the homology of an explicit finite-index subgroup of the automorphism group of a partially commutative group, in the case when its defining graph is a tree. More concretel…
Poly-freeness of even Artin groups of FC type
Ruben Blasco-Garcia, Conchita Martinez-Perez, Luis Paris
We prove that even Artin groups of FC type are poly-free and residually finite.
On the Conjugacy Problem in Certain Metabelian Groups
Jonathan Gryak, Delaram Kahrobaei, Conchita Martinez-Perez
Weanalyzethecomputationalcomplexityofanalgorithmtosolve the conjugacy search problem in a certain family of metabelian groups. We prove that in general the time complexity of the c…
Geometric dimension of lattices in classical simple Lie groups
Javier Aramayona, Dieter Degrijse, Conchita Martinez-Perez +1
We prove that if is a lattice in a classical simple Lie group , then the symmetric space of is -equivariantly homotopy equivalent to a proper cocompact -CW complex…
Dimension invariants for groups admitting a cocompact model for proper actions
Dieter Degrijse, Conchita Martinez-Perez
Let be a group that admits a cocompact classifying space for proper actions . We derive a formula for the Bredon cohomological dimension for proper actions of in terms o…
Cohomological finiteness conditions and centralisers in generalisations of Thompson's group V
Conchita Martinez-Perez, Francesco Matucci, Brita E. A. Nucinkis
We consider generalisations of Thompson's group , denoted , which also include the groups of Higman, Stein and Brin. We show that, under some mild hypotheses, i…
Euler classes and Bredon cohomology for groups with restricted families of finite subgroups
Conchita Martínez-Pérez
We explore some of the special features with respect to Bredon cohomology of groups having all its finite subgroups either nilpotent or p-groups or cyclic p-groups. We get some res…
Isomorphisms of Brin-Higman-Thompson groups
Warren Dicks, Conchita Martínez-Pérez
Let be positive integers with . Let denote the ring that is universal with an invertible matrix. Let den…
Bredon cohomological finiteness conditions for generalisations of Thompson's groups
Conchita Martinez-Perez, Brita E. A. Nucinkis
We define a family of groups that generalises Thompson's groups and and also those of Higman, Stein and Brin. For groups in this family we descrine centralisers of finite s…
Cohomological finiteness properties of the Brin-Thompson-Higman groups 2V and 3V
Dessislava H. Kochloukova, Conchita Martinez-Perez, Brita E. A. Nucinkis
We show that Brin's generalisations and of the Thompson-Higman group are of type . Our methods also give a new proof that both groups are finitely presente…
Fixed points of finite groups acting on generalised Thompson groups
D. H. Kochloukova, C. Martínez-Pérez, B. E. A. Nucinkis
We study centralisers of finite order automorphisms of generalisations of Thompson's group F and conjugacy classes of finite subgroups in finite extensions of these groups. In part…
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.
Cohomological Finiteness Conditions in Bredon Cohomology
D. H. Kochloukova, C. Martinez-Perez, B. E. A. Nucinkis
We show that any soluble group of type Bredon-$\FP_{\infty}$ with respect to the family of all virtually cyclic subgroups such that centralizers of infinite order elements are…