# Irreducible tensor products for symmetric groups in characteristic 2

## TL;DR

This paper completes the classification of non-trivial irreducible tensor products of symmetric group representations in characteristic 2 for even n, resolving a conjecture by Gow and Kleshchev.

## Contribution

It provides a complete classification of irreducible tensor products in characteristic 2 for symmetric groups, advancing understanding in modular representation theory.

## Key findings

- Classification of irreducible tensor products in characteristic 2
- Resolution of Gow and Kleshchev's conjecture
- Complete characterization for even n

## Abstract

We consider non-trivial irreducible tensor products of modular representations of a symmetric group $S_n$ in characteristic 2 for even $n$ completing the proof of a classification conjecture of Gow and Kleshchev about such products.