Simple subgroups of the real space Cremona group

Abstract

We show that the alternating groups ${\mathfrak{A}}_5$ and ${\mathfrak{A}}_6$ are the only finite simple non-abelian subgroups of the group of birational selfmaps of the real three-dimensional projective space.

arXiv comment59 pages, Lemma 2.5.11 is generalized for pseudo-terminal singularities, few typos removed