[GAP Forum] Class structure identification of symmetric groups
raghunathan
raghu_juliet at rediffmail.com
Thu Jan 12 07:56:03 GMT 2006
Hello GAP forum,
Is there a way to find the different classes of permutations corresponding to different columns of the character table of a symmetric group?
For ex.,
The character table of S3 is displayed by GAP as
2 1 1 .
3 1 . 1
1a 2a 3a
2P 1a 1a 3a
3P 1a 2a 1a
X.1 1 -1 1
X.2 2 . -1
X.3 1 1 1
Is there a way to relate the symbols displayed just above the table i.e., 1a 2a 3a etc., to the different classes (1)(2)(3),(1)(2,3) &(1,2,3) of SymmetricGroup(3)?
Thanks,
Raghunathan,R.
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