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Identifier
Values
['A',1] => 2
['A',2] => 3
['B',2] => 4
['G',2] => 6
['A',3] => 4
['B',3] => 6
['C',3] => 6
['A',4] => 6
['B',4] => 8
['C',4] => 8
['D',4] => 6
['F',4] => 12
['A',5] => 6
['B',5] => 12
['C',5] => 12
['D',5] => 12
['A',6] => 12
['B',6] => 12
['C',6] => 12
['D',6] => 12
['E',6] => 12
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Description
The maximal order of an element in the Weyl group of a given Cartan type.
For the symmetric group, this is oeis:A000793
References
[1] user66288 The maximal order of an element in a Coxeter group MathOverflow:343118
Code
def statistic(C):
    return max(g.order() for g in WeylGroup(C))
Created
Nov 13, 2019 at 08:55 by Martin Rubey
Updated
Nov 13, 2019 at 08:55 by Martin Rubey