Alternating group:A8: Difference between revisions
(Created page with '{{particular group}} ==Definition== This group is defined in the following equivalent ways: # It is the member of family::alternating group of degree eight, i.e., over a s…') |
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# It is the [[member of family::alternating group]] of degree eight, i.e., over a set of size eight. | # It is the [[member of family::alternating group]] of degree eight, i.e., over a set of size eight. | ||
# It is the [[member of family::projective special linear group]] of degree four over the [[field:F2|field of two elements]], i.e., <math>PSL(4,2)</math>. It is also the [[member of family::special linear group]] <math>SL(4,2)</math> | # It is the [[member of family::projective special linear group]] of degree four over the [[field:F2|field of two elements]], i.e., <math>PSL(4,2)</math>. It is also the [[member of family::special linear group]] <math>SL(4,2)</math>, the [[member of family::projective general linear group]] <math>PGL(4,2)</math>, and the [[member of family::general linear group]] <math>GL(4,2)</math>. | ||
Revision as of 02:40, 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 group
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Definition
This group is defined in the following equivalent ways:
- It is the alternating group of degree eight, i.e., over a set of size eight.
- It is the projective special linear group of degree four over the field of two elements, i.e., . It is also the special linear group , the projective general linear group , and the general linear group .