Automorphism Groups of Reductive and Root Monoids

TL;DR

This paper characterizes the automorphism groups of reductive monoids and root monoids with their invertible elements, providing structural insights into these algebraic objects.

Contribution

It offers a detailed description of automorphism groups for reductive and root monoids, advancing understanding of their symmetries.

Findings

Automorphism groups of reductive monoids are explicitly described.

Automorphism groups of root monoids with active groups are characterized.

Structural properties of these automorphism groups are analyzed.

Abstract

We describe the automorphism groups of reductive monoids and of root monoids with active groups of invertible elements.