15 citations · 33 across the 13 of their papers we have counts for
13 papers
Braid groups of the projective plane, mapping class groups of non-orientable surfaces and algebraic K-theory of their group rings
John Guaschi, Daniel Juan-Pineda
We describe the lower algebraic -theory of the integral group ring of both the pure and full braid groups of the real projective plane with strings, as well…
On the algebraic K-theory of 3-manifold groups
Daniel Juan-Pineda, Luis Jorge Sánchez Saldaña
We provide descriptions of the Whitehead groups, and the algebraic -theory groups, of the fundamental group of a connected, oriented, closed -manifold in terms of Whitehead g…
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…
Models for classifying spaces for
Daniel Juan-Pineda, Alejandra Trujillo-Negrete
We construct two models for the classifying space for the family of infinite cyclic subgroups of the fundamental group of the Klein bottle. These examples do not fit in general con…
On classifying spaces for the family of virtually cyclic subgroups in mapping class groups
Daniel Juan-Pineda, Alejandra Trujillo-Negrete
We give a bound for the geometric dimension for the family of virtually cyclic groups in mapping class groups of a compact surface with punctures, possibly with nonempty boundary a…
On the ranks of the algebraic -Theory of hyperbolic groups
Daniel Juan-Pineda, Luis Jorge Sánchez Saldaña
Let be a word hyperbolic group. We prove that the algebraic -theory groups of $\dbZ [G]$, $K_n(\dbZ[G])$, have finite rank for all $n\in \dbZ$. For a few classes of groups,…