# Symmetric square-central elements in products of orthogonal involutions in characteristic two

## TL;DR

This paper provides criteria to determine when symmetric square-central elements in certain algebraic structures with involution are contained within invariant quaternion subalgebras, specifically in characteristic two.

## Contribution

It introduces new criteria for symmetric square-central elements in totally decomposable algebras with orthogonal involution in characteristic two.

## Key findings

- Criteria for symmetric square-central elements containment in quaternion subalgebras
- Conditions specific to characteristic two
- Advances understanding of algebraic involutions

## Abstract

We obtain some criteria for a symmetric square-central element of a totally decomposable algebra with orthogonal involution in characteristic two, to be contained in an invariant quaternion subalgebra.