GroupTheory - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Group Theory : GroupTheory package : GroupTheory/LyonsGroup

GroupTheory

  

LyonsGroup

 

Calling Sequence

Description

Examples

Compatibility

Calling Sequence

LyonsGroup()

Description

• 

The Lyons group of order 51765179004000000 is one of the sporadic finite simple groups.  It is among the so-called pariahs, not being a subquotient of the Monster.  The existence and uniqueness of this group was proved by Charles Sims in 1973, but its existence had been predicted earlier by Richard Lyons.  Therefore, it is sometimes called the Lyons-Sims group.

• 

The LyonsGroup() command returns a symbolic representation of the Lyons simple group.

Examples

withGroupTheory:

GLyonsGroup

G:=Ly

(1)

GroupOrderG

51765179004000000

(2)

IsSimpleG

true

(3)

Compatibility

• 

The GroupTheory[LyonsGroup] 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]

GroupTheory[Monster]

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam