Rafael Gomes

collaborators

2 papers

math.AT2023

Realization of permutation modules via Alexandroff spaces

Cristina Costoya, Rafael Gomes, Antonio Viruel

We raise the question of the realizability of permutation modules in the context of Kahn's realizability problem for abstract groups and the $G$ -Moore space problem. Specifically,…

math.AT2021

The cohomological index of free $Z / p$ -actions is not additive with respect to join

Rafael Gomes, Gustavo Granja

Let $p$ denote an odd prime. We show by example that the inequalities obtained in arXiv:1704.05827 for the behaviour of the cohomological index of a join of free $Z / p$ -actions are…

Realization of permutation modules via Alexandroff spaces

The cohomological index of free Z/p-actions is not additive with respect to join

The cohomological index of free $Z / p$ -actions is not additive with respect to join