Abstract Algebra - 10.1 Understanding Group Homomorphisms and Their Properties
In this introductory video of Chapter 10, we define isomorphisms and demonstrate how to determine their kernel. We also examine various properties related to the elements of groups.
About this video
In our first video of Chapter 10 we learn what an isomorphism is and how to find its kernel. In addition, we explore some properties of both the elements of a homomorphism and the elements of subgroups of a group in relation to the homomorphisms of that group.
Video Chapters:
Intro 0:00
What is a Homomorphism and Its Kernel 0:04
Examples of Homomorphisms 3:14
Properties of Elements of Homomorphisms 9:20
Properties of Subgroups of Homomorphisms 12:59
Subgroups Example 15:07
Up Next 17:57
This playlist follows Gallian text, Contemporary Abstract Algebra, 9e.
Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII1YlnI7OBsUHQ5E42RA-ZVI
Slide Decks: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/Ehx8gpkoONZJsvfm3JIFU6ABZefqnC1Kt0ZkO2SxYQjX7w?e=WHscZk
Video Chapters:
Intro 0:00
What is a Homomorphism and Its Kernel 0:04
Examples of Homomorphisms 3:14
Properties of Elements of Homomorphisms 9:20
Properties of Subgroups of Homomorphisms 12:59
Subgroups Example 15:07
Up Next 17:57
This playlist follows Gallian text, Contemporary Abstract Algebra, 9e.
Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII1YlnI7OBsUHQ5E42RA-ZVI
Slide Decks: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/Ehx8gpkoONZJsvfm3JIFU6ABZefqnC1Kt0ZkO2SxYQjX7w?e=WHscZk
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Nov 16, 2022
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