Representations of Skew Left Braces of order $pq$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913722188955648 |
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| author | Rathee, Nishant Udeep, Ayush |
| author_facet | Rathee, Nishant Udeep, Ayush |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04401 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Representations of Skew Left Braces of order $pq$ Rathee, Nishant Udeep, Ayush Group Theory Representation Theory 16T25, 20C15, 20D10 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. |
| title | Representations of Skew Left Braces of order $pq$ |
| topic | Group Theory Representation Theory 16T25, 20C15, 20D10 |
| url | https://arxiv.org/abs/2503.04401 |