Year: 2025
Type: article
Abstract: In this brief note, we present a method to construct explicitly all irreducible representations of finite groups over a number field, up to equivalence. As a byproduct, we describe how to find the irreducible representations of the generalized quaternion group \(Q(2^{n})\), of order \(2^{n}\), over a field \(L\), where \(\mathbb{Q}\leq L\leq \mathbb{Q}(\xi_{2^{n-1}})\) and \(\xi_{2^{n-1}}\) a primitive \(2^{n-1}\)-root of unity.
Source: Cubo
Institutions: Universidad de La Frontera, University of Chile
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7082662883
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