The $R_{\infty}$-property for Chevalley groups of types $B_l, C_l, D_l$ over integral domains

TL;DR

This paper proves that Chevalley groups of types B, C, D over certain integral domains have the $R_{inity}$-property, expanding understanding of their automorphism behavior in algebraic group theory.

Contribution

It establishes the $R_{inity}$-property for Chevalley groups of types B, C, D over integral domains with torsion automorphism groups, a novel result in algebraic group theory.

Findings

Chevalley groups of types B, C, D over specified domains have the $R_{inity}$-property.

The result applies to integral domains of zero characteristic with torsion automorphism groups.

This advances the classification of automorphism properties of classical algebraic groups.

Abstract

We prove that Chevalley groups of the classical series $B_l, C_l, D_l$ over an integral domain of zero characteristic, which has torsion automorphism group, possess the $R_{\infty}$-property.