Factorizations of almost simple orthogonal groups of plus type

TL;DR

This paper advances the classification of factorizations of almost simple groups by focusing on orthogonal groups of plus type, completing a series of studies on nonsolvable factorizations.

Contribution

It provides a detailed classification of factorizations specifically for almost simple orthogonal groups of plus type, filling a gap in the existing literature.

Findings

Complete classification of factorizations for these groups.

Identification of new factorizations specific to plus type orthogonal groups.

Extension of previous classification results to this class of groups.

Abstract

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