24 citations · 33 across the 11 of their papers we have counts for
18 papers
Generalising a Theorem of Lichtman
Giorgio Leoni, Conchita Martínez-Pérez, Thomas Weigel
We show that under a suitable additional hypothesis the restricted Zassenhaus $\F_p$-Lie algebra or the rational Magnus Lie algebra of a free amalgamated product is the free amalga…
Pure symmetric automorphisms, extensions of RAAGs, and Koszulness
Conchita Martínez-Pérez, Luis Mendonça
We characterize in terms of a combinatorial condition on the graph when the group of pure symmetric automorphisms of the RAAG and its outer version $…
Homology of even Artin kernels
Rubén Blasco-García, José Ignacio Cogolludo-Agustín, Conchita Martínez-Pérez
We explicitly compute the homology groups with coefficients in a field of characteristic zero of cocyclic subgroups or even Artin groups of FC-type. We also give some partial resul…
Bass-Serre theory for Lie algebras: a homological approach
Dessislava H. Kochloukova, Conchita Martínez-Pérez
We develop a version of the Bass-Serre theory for Lie algebras (over a field ) via a homological approach. We define the notion of fundamental Lie algebra of a graph of Lie alge…
On the Sigma invariants of even Artin groups of FC-type
Ruben Blasco. García, Jose Ignacio Cogolludo-Agustín, Conchita Martínez-Pérez
In this paper we study Sigma invariants of even Artin groups of FC-type, extending some known results for right-angled Artin groups. In particular, we define a condition that we ca…
Coabelian ideals in -graded Lie algebras and applications to right angled Artin Lie algebras
Dessislava H. Kochloukova, Conchita Martínez-Pérez
We consider homological finiteness properties of certain -graded Lie algebras. After proving some general results, see Theorem A, Corollary B and Corollary C, we…
Homological Dimension of Solvable Groups
Peter Kropholler, Conchita Martínez-Pérez
In this paper we prove that the homological dimension of an elementary amenable group over an arbitrary commutative coefficient ring is either infinite or equal to the Hirsch lengt…
Subdirect sums of Lie algebras
Dessislava H. Kochloukova, Conchita Martínez-Pérez
We show Lie algebra versions of some results on homological finiteness properties of subdirect products of groups, including a version of the 1-2-3 Theorem.
Presentations of generalisations of Thompson's group
Conchita Martínez-Pérez, Francesco Matucci, Brita E. A. Nucinkis
We consider generalisations of Thompson's group , denoted by , which also include the groups of Higman, Stein and Brin. It was shown by the authors in [20] that under so…
HNN extensions and stackable groups
Susan Hermiller, Conchita Martínez-Pérez
Stackability for finitely presented groups consists of a dynamical system that iteratively moves paths into a maximal tree in the Cayley graph. Combining with formal language theor…
Towards computing the rational homology and assembly maps of generalised Thompson groups
Conchita Martínez-Pérez, Brita Nucinkis
Let be the generalised Thompson group defined as the automorphism group of a valid, bounded, and complete Cantor algebra. We show that that for every there is a $k>n…
On the first cohomology of automorphism groups of graph groups
Javier Aramayona, Conchita Martínez-Pérez
We study the (virtual) indicability of the automorphism group of the right-angled Artin group associated to a simplicial graph . First, we identify two conditio…
Undistorted embeddings of metabelian groups of finite Prüfer rank
Sean Cleary, Conchita Martínez-Pérez
General arguments of Baumslag and Bieri guarantee that any metabelian group of finite Prüfer rank can be embedded in a metabelian constructible group. Here, we consider the metric…
Sigma theory for Bredon modules
Dessislava H. Kochloukova, Conchita Martínez-Pérez
We develop new invariants similar to the Bieri-Strebel-Neumann-Renz invariants but in the category of Bredon modules (with respect to the class of the finite subgroups of G). We pr…
The proper geometric dimension of the mapping class group
Javier Aramayona, Conchita Martínez-Pérez
We show that the mapping class group of a closed surface admits a cocompact classifying space for proper actions of dimension equal to its virtual cohomological dimension.
Finite presentability of normal fibre products
Conchita Martínez-Pérez
We use Bieri-Strebel invariants to determine when a normal fibre product in the product of two finitely presented groups is finitely presented. We give conditions that imply and in…
On the dimensions of PIM's
Conchita Martínez-Pérez, Wolfgang Willems
We discuss the structure of finite groups for which the projective indecomposable modules have special given dimensions. In particular, we prove the converse of Fong's dimension fo…
Subgroup posets, Bredon cohomology and equivariant Euler characteristics
Conchita Martínez-Pérez
For a discrete group satisfying some finiteness conditions we give a Bredon projective resolution of the trivial module in terms of projective covers of the chain complex assoc…