9 citations · 20 across the 9 of their papers we have counts for
10 papers
Geometric purity and the frame of smashing ideals
Juan Omar Gómez, Maurcio Medina-Barcenas, Greg Stevenson +2
We introduce the notion of geometric purity in rigidly-compactly generated tt-categories by considering exact triangles that are pure at each tt-stalk. We develop a systematic stud…
Counting conjugacy classes of elements of finite order in p-compact groups
José Cantarero, Bernardo Villarreal
We express the set of representations from a cyclic -group to a connected -compact group in terms of the associated reflection group and compute its cardinality for each exot…
On the second homotopy group of the classifying space for commutativity in Lie groups
Bernardo Villarreal
In this note we show that the second homotopy group of , the classifying space for commutativity for a compact Lie group , contains a direct summand isomorphic to $π_1(G…
On families of nilpotent subgroups and associated coset posets
Simon Gritschacher, Bernardo Villarreal
We study some properties of the coset poset associated with the family of subgroups of class of a nilpotent group of class . We prove that under certain assumption…
Higher generation by abelian subgroups in Lie groups
Omar Antolín-Camarena, Simon Gritschacher, Bernardo Villarreal
To a compact Lie group one can associate a space akin to the poset of cosets of abelian subgroups of a discrete group. The space was introduced by Adem, F. Co…
The Complex of Affinely Commutative Sets
Omar Antolín-Camarena, Bernardo Villarreal
We show that for some classes of groups , the homotopy fiber of the inclusion of the classifying space for commutativity into the class…
Commutative cocycles and stable bundles over surfaces
Daniel A. Ramras, Bernardo Villarreal
Commutative K-theory, a cohomology theory built from spaces of commuting matrices, has been explored in recent work of Adem, Gómez, Gritschacher, Lind, and Tillman. In this article…
Classifying spaces for commutativity of low-dimensional Lie groups
Omar Antolín-Camarena, Simon Gritschacher, Bernardo Villarreal
For each of the groups , we compute the integral and -cohomology rings of (the classifying space for commutativity of ), th…
Nilpotent -tuples in
Omar Antolín Camarena, Bernardo Villarreal
We describe the connected components of the space of homomorphisms for a discrete nilpotent group . The connected components arising from homomorphisms wit…
Cosimplicial Groups and Spaces of Homomorphisms
Bernardo Villarreal
Let be a real linear algebraic group and a finitely generated cosimplicial group. We prove that the space of homomorphisms has a homotopy stable decomposition…