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GroupTheory

  

HigmanSimsGroup

 

Calling Sequence

Description

Examples

Compatibility

Calling Sequence

HigmanSimsGroup()

Description

• 

The Higman-Sims group is a sporadic finite simple group of order equal to 44352000.  It was discovered in 1967 by Donald Higman and Charles Sims as the subgroup of index 2 in the automorphism group of the Higman-Sims graph. It was independently re-discovered by Graham Higman in 1969.

• 

The HigmanSimsGroup() command returns a permutation group (default), or a finitely presented group, isomorphic to the Higman-Sims group.

Examples

withGroupTheory:

GHigmanSimsGroup

G:=HS

(1)

DegreeG

100

(2)

GroupOrderG

44352000

(3)

IsSimpleG

true

(4)

Compatibility

• 

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

• 

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

See Also

GroupTheory[Degree]

GroupTheory[GroupOrder]

GroupTheory[IsSimple]

 


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