In this video we look at two possible groups. We will prove (or disprove) that each of the properties is met for the set to be a group under the given operation.
Video Chapters:
Intro 0:00
Recap of Properties of Group 0:15
Prove Set of Reals under "Star" Operation (a*b=a+b-ab) is a Group - Closure 0:23
Prove Set of Reals under "Star" Operation (a*b=a+b-ab) is a Group - Associativity 1:57
Prove Set of Reals under "Star" Operation (a*b=a+b-ab) is a Group - Identity 5:33
Prove Set of Reals under "Star" Operation (a*b=a+b-ab) is a Group - Inverse 7:55
Prove Integers under Addition is a Group 10:23
Up Next 13:21
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
