Understanding the Order of an Element in Group Theory 🔍

The order of an element in a group is the smallest positive power of the element which gives you the identity element. We discuss 3 examples: elements of finite order in the real numbers, complex numbers, and a 2x2 rotation matrix.

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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/CourseNotes/index.html

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

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