2 papers
math.AT2025
Group actions on contractible -complexes II
Kevin Ivan Piterman, Iván Sadofschi Costa
In this second part we prove that, if is one of the groups with and or , then the fundamental group of eve…
math.AT2025
Group actions on contractible -complexes I
Iván Sadofschi Costa
In this series of two articles, we prove that every action of a finite group on a finite and contractible -complex has a fixed point. The proof goes by constructing a nontri…