Matrix Groups (Abstract Algebra)

Matrices are a great example of infinite, nonabelian groups.  Here we introduce matrix groups with an emphasis on the general linear group and special linear group.  The general linear group is written as GLn(F), where F is the field used for the matrix elements.  The most common examples are GLn(R) and GLn(C).  Similarly, the special linear group is written as SLn.

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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S

Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNote...

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Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro
Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison
Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison

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