11 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…