GroupTheory - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Group Theory : GroupTheory/RudvalisGroup

GroupTheory

  

RudvalisGroup

  

construct a permutation group isomorphic to the Rudvalis simple group

 

Calling Sequence

Description

Examples

Compatibility

Calling Sequence

RudvalisGroup()

Description

• 

The Rudvalis group is a sporadic finite simple group of order 145926144000. It is one of the pariahs, not being a subquotient of the Monster, and was discovered by Arunas Rudvalis and constructed by J. H. Conway and D. B. Wales in 1973.

• 

The RudvalisGroup() command returns a permutation group isomorphic to the Rudvalis group.

• 

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

Examples

withGroupTheory:

GRudvalisGroup2

GRu

(1)

DegreeG

4060

(2)

GroupOrderG

145926144000

(3)

IsSimpleG

true

(4)

Compatibility

• 

The GroupTheory[RudvalisGroup] 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]