The title says it all: Why is the alternating group called alternating? What is being alternated that is not being alternated by any permutation?
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See here. – Dietrich Burde Mar 15 '17 at 16:39
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http://mathoverflow.net/questions/74208/meaning-of-alternating-group – Pedro Mar 15 '17 at 16:40
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Yes, I can tell. – Pedro Mar 15 '17 at 16:41