Understanding Isomorphisms in Abstract Algebra: When Groups Are Essentially the Same 🔍

Learn what an isomorphism is in abstract algebra, how it shows the equivalence between groups, and why it's fundamental to understanding group structures.

Understanding Isomorphisms in Abstract Algebra: When Groups Are Essentially the Same 🔍
Socratica
393.1K views • Feb 27, 2015
Understanding Isomorphisms in Abstract Algebra: When Groups Are Essentially the Same 🔍

About this video

An isomorphism is a homomorphism that is also a bijection. If there is an isomorphism between two groups G and H, then they are equivalent and we say they are "isomorphic." The groups may look different from each other, but their group properties will be the same.

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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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Video Information

Views

393.1K

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Duration

5:04

Published

Feb 27, 2015

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