Carmichael's lambda function
The size of the largest cyclic group generated by gimodn is given by CarmichaelLambda(n).
Alternatively, CarmichaelLambda(n) is the smallest integer i such that for all g coprime to n, gi is congruent to 1 modulo n.
lambda is an alias for CarmichaelLambda.
You can enter the command lambda using either the 1-D or 2-D calling sequence. For example, lambda(8) is equivalent to λ⁡8.
Carmichael's theorem states that gλ⁡n is congruent to 1 modulo n if g and n are coprime.
d ≔ CarmichaelLambda⁡112
The NumberTheory[CarmichaelLambda] command was introduced in Maple 2016.
For more information on Maple 2016 changes, see Updates in Maple 2016.
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