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

From Groupprops

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==Definition== | ==Definition== | ||

− | This [[group]] is defined as the [[general linear group of degree three]] over [[field:F3]]. | + | This [[group]] is defined as the [[member of family::general linear group]] of [[member of family::general linear group of degree three|degree three]] over [[field:F3]]. |

==Arithmetic functions== | ==Arithmetic functions== |

## Revision as of 01:44, 2 November 2010

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 groupView a complete list of particular groups (this is a very huge list!)[SHOW MORE]

## Definition

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

## Arithmetic functions

Function | Value | Explanation |
---|---|---|

order (number of elements, equivalently, cardinality or size of underlying set) | 11232 | groups with same orderorder of a general linear group of degree three over a finite field with elements is . For , we get |

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 |