Talk:Mathieu group M11

Latest comment: 9 years ago by JohnBlackburne in topic Permutations

Permutations

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"can be defined by some set of permutations, such as the pair (1,2,3,4,5,6,7,8,9,10,11), (3,7,11,8)(4,10,5,6) of permutations" doesn't make sense. (1,2,3,4,5,6,7,8,9,10,11) is the "identity permutation" on 11 elements. This is basically just one generator namely (3,7,11,8)(4,10,5,6).

2601:647:4101:1927:29A0:6634:296D:19D4 (talk) 04:20, 22 September 2015 (UTC)Reply

It is using cyclic notation. (1,2,3,4,5,6,7,8,9,10,11) is not the identity but a permutation that permutes all 11 objects, 1 -> 2, 2 -> 3, etc., so a permutation of order 11.--JohnBlackburnewordsdeeds 04:45, 22 September 2015 (UTC)Reply