Group Theory Lecture 2.4 Lagrange's Theorem

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00:00 Problems
00:22 Left Cosets
02:54 Notation for Abelian Groups
03:36 An Example
05:36 When are Two Cosets Equal?
09:00 Lagrange's Theorem
13:44 Lagrange's Theorem for Finite Groups
15:20 A Comment About Right Cosets

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Errata: At 10:10 I write 'g = xH cap yH' where I meant 'g in xH cap yH.'

Note: At 04:24 I should have mentioned the reason for the notation 'Z/nZ' for the set of all the remainder classes modulo n. It is simply the set of all the left cosets of the subgroup nZ of the group Z.

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