# Difference between revisions of "General linear group:GL(3,3)"

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This article is about a particular group, i.e., a group unique upto isomorphism. View specific information (such as linear representation theory, subgroup structure) about this group
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## Definition

This group is defined as the general linear group of degree three over field:F3.

## Arithmetic functions

Function Value Similar groups Explanation
order (number of elements, equivalently, cardinality or size of underlying set) 11232 groups with same order order of a general linear group of degree three over a finite field with $q$ elements is $(q^3 - 1)(q^3 - q)(q^3 - q^2)$. For $q = 3$, we get $(26)(24)(18) = 11232$
exponent of a group 312 groups with same order and exponent of a group | groups with same exponent of a group

## GAP implementation=

Description Functions used
GL(3,3) or GeneralLinearGroup(3,3) GAP:GL