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GroupTheory

  

Monster

 

Calling Sequence

Description

Examples

Compatibility

Calling Sequence

Monster()

Description

• 

The Fischer-Griess Monster 𝕄 is the largest among the sporadic finite simple groups, discovered in 1973 by Robert Griess, after its existence had been predicted earlier by Griess and Bernd Fischer.  The Monster was constructed as the automorphism group of a certain 196883-dimensional non-associative algebra.

• 

The Monster() command returns a symbolic group that represents the Monster simple group.  Although the Monster is too large (about 1000000000000000000000000000 times larger than the age of the universe in nanoseconds) to allow computation with its elements in the current implementation, Maple knows various properties of the group.

• 

In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.

Examples

withGroupTheory:

GMonster

G𝕄

(1)

GroupOrderG

808017424794512875886459904961710757005754368000000000

(2)

IsSimpleG

true

(3)

IsPerfectG

true

(4)

IsSolubleG

false

(5)

Compatibility

• 

The GroupTheory[Monster] command was introduced in Maple 17.

• 

For more information on Maple 17 changes, see Updates in Maple 17.

See Also

GroupTheory[BabyMonster]

GroupTheory[GroupOrder]

GroupTheory[IsPerfect]

GroupTheory[IsSimple]

GroupTheory[IsSoluble]