Lagrange's theorem (group theory) | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-28

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Lagrange%27s_theorem_(group_theory)


00:00:19 1 Proof of Lagrange's theorem
00:00:52 2 Disproving the Converse of Lagrange's theorem
00:02:55 3 Applications
00:22:09 4 Existence of subgroups of given order
00:24:30 5 History
00:26:33 6 Notes



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SUMMARY
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Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order (number of elements) of every subgroup H of G divides the order of G.  The theorem is named after Joseph-Louis Lagrange.