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GroupTheory

  

TitsGroup

  

construct a permutation group isomorphic to the Tits group

 

Calling Sequence

Description

Examples

Compatibility

Calling Sequence

TitsGroup()

Description

• 

The Tits group is often considered a sporadic finite simple group. It is the derived subgroup of the twisted Chevalley group F422. The Tits group itself is not a group of Lie type, and in fact it has sometimes been considered to be a sporadic group.

• 

The TitsGroup() command returns a permutation group isomorphic to the Tits group.

• 

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

Examples

withGroupTheory:

GTitsGroup

GT

(1)

DegreeG

1600

(2)

GroupOrderG

17971200

(3)

IsSimpleG

true

(4)

Compatibility

• 

The GroupTheory[TitsGroup] 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]