Finite subgroups of Cremona group of rank 3 over the field of rational numbers

TL;DR

This paper establishes explicit bounds on the sizes of finite subgroups within the Cremona group of rank three over the rational numbers, contributing to the understanding of its algebraic structure.

Contribution

It provides the first explicit bounds on finite subgroup orders in the Cremona group of rank three over , advancing the classification of these groups.

Findings

Derived explicit bounds for finite subgroup orders

Enhanced understanding of Cremona group structure over 

Contributed to classification efforts of algebraic transformation groups

Abstract

We give an explicit bound on orders of finite subgroups of Cremona group of rank three over $\mathbb{Q}$.