The direct product is a way to combine two groups into a new, larger group. Just as you can factor integers into prime numbers, you can break apart some groups into a direct product of simpler groups.

If you’d like to help us make videos more quickly, you can support us on Patreon at

https://www.patreon.com/socratica

We also welcome Bitcoin donations! Our Bitcoin address is:

1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9

Thank you!!

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

Be sure to subscribe so you don’t miss new lessons from Socratica:

http://bit.ly/1ixuu9W

You can also follow Socratica on:

- Twitter: @socratica

- Instagram: @SocraticaStudios

- Facebook: @SocraticaStudios

Teaching Assistant: Liliana de Castro

Written & Directed by Michael Harrison

Produced by Kimberly Hatch Harrison