43 citations · 217 across the 30 of their papers we have counts for
5 papers · 1 filter
The first integral cohomology of pure mapping class groups
Javier Aramayona, Priyam Patel, Nicholas G. Vlamis
It is a classical result of Powell that pure mapping class groups of connected, orientable surfaces of finite type and genus at least three are perfect. In stark contrast, we const…
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…
On the virtually-cyclic dimension of mapping class groups of punctured spheres
J. Aramayona, D. Juan-Pineda, A. Trujillo-Negrete
We calculate the virtually-cyclic dimension of the mapping class group of a sphere with at most six punctures. As an immediate consequence, we obtain the virtually-cyclic dimension…
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…
Asymptotic mapping class groups of closed surfaces punctured along Cantor sets
Javier Aramayona, Louis Funar
We introduce subgroups of the mapping class group of a closed surface of genus with a Cantor set removed, which are extension…