General linear group:GL(2,5): Difference between revisions
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==Definition== | ==Definition== | ||
The group, denoted <math>GL(2,5)</math> or <math>GL_2(5)</math>, is defined as the [[defining ingredient::general linear group of degree two]] over the field of five elements. | The group, denoted <math>GL(2,5)</math> or <math>GL_2(5)</math>, is defined as the [[defining ingredient::general linear group of degree two]] over the field of five elements. It is a [[groups of order 480|group of order 480]]. | ||
==GAP implementation== | ==GAP implementation== | ||
Revision as of 00:34, 11 November 2023
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
The group, denoted or , is defined as the general linear group of degree two over the field of five elements. It is a group of order 480.
GAP implementation
Group ID
This group has ID among the groups of order . It can be defined using GAP's SmallGroup function:
SmallGroup(480,218)
Other definitions
The group can also be defined using GAP's GeneralLinearGroup function:
GL(2,5)