Linear representation theory of general linear group over a finite field

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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 GL(n,\mathbb{F}_q), also denoted GL(n,q), defined as the general linear group of degree n over the (unique up to isomorphism) field of size q.

Particular cases

Particular cases by degree

Value of degree n Linear representation theory of special linear group SL(n,q)
1 the general linear group is a cyclic group of size q - 1, given by the multiplicative group of \mathbb{F}_q -- 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