Element structure of general linear group over a finite field
This article gives specific information, namely, element structure, about a family of groups, namely: general linear group.
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This article describes the element structure 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 .
Particular cases by degree
|Value of degree||Element structure of general linear group||order of group||degree as a polynomial in (= )||number of conjugacy classes||degree as a polynomial in (= )|
|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||1||1|
|2||element structure of general linear group of degree two over a finite field||4||2|
|3||element structure of general linear group of degree three over a finite field||9||3|