Factorizations of almost simple orthogonal groups in odd dimension

TL;DR

This paper classifies factorizations of almost simple orthogonal groups in odd dimensions, advancing the understanding of their subgroup structures within group theory.

Contribution

It provides a comprehensive classification of factorizations specifically for orthogonal groups in odd dimensions, filling a gap in the existing literature.

Findings

Complete classification of factorizations for these groups

Identification of new subgroup structures

Extension of previous classification results

Abstract

This is the third one in a series of papers classifying the factorizations of almost simple groups with nonsolvable factors. In this paper we deal with orthogonal groups in odd dimension.