Subgroups of odd order in the real plane Cremona group

TL;DR

This paper classifies conjugacy classes of finite subgroups of odd order within the group of birational automorphisms of the real projective plane, advancing understanding of its subgroup structure.

Contribution

It provides a detailed description of conjugacy classes of odd order finite subgroups in the real plane Cremona group, a novel classification in this context.

Findings

Complete classification of conjugacy classes of odd order subgroups.

Identification of structural properties of these subgroups.

Insights into the subgroup structure of the real plane Cremona group.

Abstract

In this paper we describe conjugacy classes of finite subgroups of odd order in the group of birational automorphisms of the real projective plane.