compute the exponent of a finite group
a permutation group or a Cayley table group
The exponent of a finite group G is the least positive integer e such that g^e = 1, for all g in G. It is equal to the least common multiple of the orders of the elements of G, and is a divisor of the order of G.
The Exponent(G) command computes the exponent of the finite group G, if possible.
Note that the exponent of a finite finitely presented group can be computed by first converting it to a permutation group using the PermutationGroup command.
G ≔ SymmetricGroup⁡5
G ≔ a,b|a2,b3,`.`⁡a,b5=1
Error, (in Exponent) cannot compute the Exponent of a general finitely presented group. If you know that your group is finite, try converting it to a permutation group by using the `PermutationGroup' command with your finitely presented group as input.
The GroupTheory[Exponent] command was introduced in Maple 2015.
For more information on Maple 2015 changes, see Updates in Maple 2015.
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