The string C-group representations of the Suzuki and Rudvalis sporadic groups

TL;DR

This paper introduces algorithms to classify string C-group representations and applies them to the Suzuki and Rudvalis sporadic groups, expanding understanding of their symmetry structures.

Contribution

The paper develops new algorithms for classifying string C-group representations and applies them to two specific sporadic groups, providing comprehensive classifications.

Findings

Complete classifications of string C-group representations for Suzuki and Rudvalis groups

New algorithms for classifying string C-group representations

Enhanced understanding of the symmetry properties of these sporadic groups

Abstract

We present new algorithms to classify all string C-group representations of a given group $G$. We use these algorithms to classify all string C-group representations of the sporadic groups of Suzuki and Rudvalis.