GroupTheory[HaradaNortonGroup] - Maple Help

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GroupTheory[HaradaNortonGroup]

Calling Sequence

HaradaNortonGroup()

Description

• 

The Harada-Norton group of order 273030912000000 is one of the sporadic finite simple groups.  It was discovered independently by Koichi Harada in 1976, and by Simon Norton in 1975, using different methods.  It can be described as a centralizer of an element of order 5 in the Monster.

• 

The HaradaNortonGroup() command returns a symbolic group representing the Harada-Norton group.

Examples

withGroupTheory:

G:=HaradaNortonGroup

G:=HN

(1)

GroupOrderG

273030912000000

(2)

IsSimpleG

true

(3)

See Also

GroupTheory[GroupOrder], GroupTheory[IsSimple], GroupTheory[Monster]


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