I. S. Costa

activity

20162020

collaborators

3 papers

math.AT2020

Group actions of $A_{5}$ on contractible $2$ -complexes

Iván Sadofschi Costa

We prove that every action of $A_{5}$ on a finite $2$ -dimensional contractible complex has a fixed point.

math.AT2019

Acyclic $2$ -dimensional complexes and Quillen's conjecture

Kevin I. Piterman, Iván Sadofschi Costa, Antonio Viruel

Let $G$ be a finite group and $A_{p} (G)$ be the poset of nontrivial elementary abelian $p$ -subgroups of $G$ . Quillen conjectured that $O_{p} (G)$ is nontrivial if $\mathcal{A}…

math.CO2016

On a generalization of the seating couples problem

Daniel Kohen, Iván Sadofschi Costa

We prove a conjecture of Adamaszek generalizing the seating couples problem to the case of $2 n$ seats. Concretely, we prove that given a positive integer $n$ and $d_1,\ldots,d_n\in…

Group actions of A5​ on contractible 2-complexes

Acyclic 2-dimensional complexes and Quillen's conjecture

On a generalization of the seating couples problem

Group actions of $A_{5}$ on contractible $2$ -complexes

Acyclic $2$ -dimensional complexes and Quillen's conjecture