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Klein four-group

108 bytes added, 16:48, 27 August 2009
Definition
* It is the group comprising the elements <math>(\pm 1, \pm 1)</math> under coordinate-wise multiplication
* It is the unique non-cyclic group of order 4
* It is the subgroup of [[symmetric group:S4|the symmetric group on 4 elementsof degre four]] comprising the double transpositions, and the identity element.* It is the [[Burnside group]] <math>B(2,2)</math>: the ''free group'' on two generators with exponent two.
===Multiplication table===
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