Group Theory Lecture 1.2 Groups: Definition and Examples

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00:00 Recap
00:23 Problems
00:29 Groups
14:39 Examples: C^*
17:49 Examples: Unit Circle
20:31 Examples: Roots of Unity
25:19 Examples: Integers
26:26 Examples: Even Integers
26:56 Examples: nZ
27:44 Examples: Integer Grid
29:31 Examples: Integers Modulo n
30:54 Examples: The Plane
31:12 Examples: Punctured Reals
31:57 Examples: Something
36:18 Examples: Quaternions
42:33 Examples: Klein's 4
46:36 Non-Examples

Full Playlist:    • Group Theory  

Note: The auto-generated subtitles are mostly accurate and may enhance experience.

Prerequisites:
1) Basic Mathematical Notions and Terminology:    • Kickstart  
2) Some Elementary Number Theory:    • First Course in Number Theory  
3) Some Linear Algebra:    • Linear Algebra  

Recommended Books: Topics in Algebra by Herstein. Algerba by M. Artin.
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