# Linear representation theory of general linear group over a finite field

This article gives specific information, namely, linear representation theory, about a family of groups, namely: general linear group.

View linear representation theory of group families | View other specific information about general linear group

This article describes the linear representation theory of the general linear group of finite degree over a finite field, i.e., a group of the form , also denoted , defined as the general linear group of degree over the (unique up to isomorphism) field of size .

## Contents

## Particular cases

### Particular cases by degree

Value of degree | Linear representation theory of special linear group |
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1 | the general linear group is a cyclic group of size , given by the multiplicative group of -- see multiplicative group of a finite field is cyclic and linear representation theory of finite cyclic groups |

2 | linear representation theory of general linear group of degree two over a finite field |

3 | linear representation theory of general linear group of degree three over a finite field |