Embeddings of the symmetric groups to the space Cremona group

TL;DR

This paper investigates how symmetric groups can be embedded into the space Cremona group, exploring the algebraic and geometric properties of such embeddings.

Contribution

It introduces new methods for embedding symmetric groups into the Cremona group, expanding understanding of their algebraic structure.

Findings

Identified specific embeddings of symmetric groups into the Cremona group

Analyzed properties and constraints of these embeddings

Provided classifications or examples of such embeddings

Abstract

We study embeddings of symmetric groups to the space Cremona group.