Elementary abelian 2 subgroups of compact Lie groups

TL;DR

This paper completes the classification of elementary abelian 2 subgroups within compact simple Lie groups of adjoint type, advancing the understanding of subgroup structures in these mathematical objects.

Contribution

It provides a complete classification of elementary abelian 2 subgroups in compact simple Lie groups of adjoint type, filling a gap in the existing subgroup classification.

Findings

Complete classification of elementary abelian 2 subgroups achieved

Extended the classification to all compact simple Lie groups of adjoint type

Contributed to the broader understanding of subgroup structures in Lie groups

Abstract

We classify elementary abelian 2 subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian $p$ subgroups of compact (or linear algebraic) simple groups of adjoint type.