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NumberTheory

  

Landau

  

compute the Landau g function

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Landau(n)

Parameters

n

-

a positive integer

Description

• 

The Landau function g(n) is defined to be the largest order of a permutation of degree n, where n is a positive integer.

• 

The Landau(n) command computes the value of g(n).

Examples

withNumberTheory:

withGroupTheory:

Landau3

3

(1)

maxmapPermOrder,ElementsSymm3

3

(2)

Landau10

30

(3)

Landau100

232792560

(4)

Compatibility

• 

The NumberTheory[Landau] command was introduced in Maple 2016.

• 

For more information on Maple 2016 changes, see Updates in Maple 2016.

See Also

GroupTheory[Elements]

GroupTheory[PermOrder]

GroupTheory[SymmetricGroup]

map

max

NumberTheory