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Klein four-group

418 bytes added, 21:46, 2 January 2008
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|<math>b</math> || <math>b</math> || <math>c</math> || <math>e</math> || <math>a</math>
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|<math>c</math> || <math>c</math> || <math>b</math> || <matHmath>a</math> || <math>e</math>
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==Elements==
 
===Upto conjugation===
 
There are four [[conjugacy class]]es, each containing one element (the conjugacy classes are singleton because the group is [[Abelian group|Abelian]].
 
===Upto automorphism===
 
There are two equivalence classes of elements upto automorphism: the identity element as a singleton, and all the non-identity elements. All the non-identity elements are equivalent under automorphism.
==Group properties==
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