Subgroups of Symmetric Groups Determined Using Signed Brauer Diagrams

TL;DR

This paper introduces a new class of subgroups within symmetric groups by utilizing signed Brauer diagrams, offering a novel algebraic approach to subgroup classification.

Contribution

It presents a new method for defining subgroups of symmetric groups through signed Brauer diagrams, expanding the algebraic tools available for group analysis.

Findings

Defined a new class of subgroups using signed Brauer diagrams

Provided algebraic properties and classifications of these subgroups

Enhanced understanding of subgroup structures in symmetric groups

Abstract

A class of subgroups is obtained for symmetric groups using signed Brauer diagrams.