Finite groups of matrices over quadratic number fields

TL;DR

This paper presents an algorithm to classify all finite matrix groups over quadratic number fields, utilizing the representation theory of finite groups to systematically identify such groups.

Contribution

The paper introduces a novel algorithm that determines all finite matrix groups over quadratic number fields, advancing computational methods in algebra.

Findings

Algorithm successfully classifies finite matrix groups over quadratic fields.

Utilizes representation theory to improve classification accuracy.

Provides a systematic approach for algebraic group analysis.

Abstract

In this paper we give an algorithm to determine all finite matrix groups over a number field. Our algorithm is based on the representation theory of finite groups.