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arXiv · 2503.04401

Representations of Skew Left Braces of order $pq$

Nishant Rathee·Ayush Udeep
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Abstract

In this paper, we study the irreducible representations of skew braces of order \( pq \), which is equivalent to studying the representation theory of groups of order \( p^2q^2 \) arising from skew left braces, where \( p > q \) are primes. To achieve this, we classify all semidirect product groups \( Λ_A \) associated with skew left braces $A$ of order \( pq \), up to isomorphism.

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Nishant Rathee, Ayush Udeep. 2025-03-06. Representations of Skew Left Braces of order $pq$. https://arxiv.org/abs/2503.04401

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