Finite group theory | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-29

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Finite_group


00:00:21 1 History
00:01:54 2 Examples
00:02:03 2.1 Permutation groups
00:02:42 2.2 Cyclic groups
00:02:58 2.3 Finite abelian groups
00:03:25 2.4 Groups of Lie type
00:04:29 3 Main theorems
00:07:17 3.1 Lagrange's theorem
00:07:26 3.2 Sylow theorems
00:07:48 3.3 Cayley's theorem
00:08:08 3.4 Burnside theorem
00:08:33 3.5 Feit–Thompson theorem
00:09:16 3.6 Classification of finite simple groups
00:09:40 4 Number of groups of a given order
00:11:23 4.1 Table of distinct groups of order in/i
00:13:35 5 See also



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SUMMARY
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In abstract algebra, a finite group is a mathematical group with a finite number of elements.  A group is a set of elements together with an operation which associates, to each ordered pair of elements, an element of the set.  In the case of a finite group, the set is finite.