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GroupTheory

  

IsStemGroup

  

attempt to determine whether a group is a stem group

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsStemGroup( G )

Parameters

G

-

a finite group

Description

• 

A group G is a stem group if its center is contained in its derived subgroup. Stem groups are minimal order groups within their isoclinism class.

• 

The IsStemGroup( G ) command attempts to determine whether the group G is a stem group. It returns true if G is a stem group and returns false otherwise.

Examples

withGroupTheory:

IsStemGroupTrivialGroup

true

(1)

IsStemGroupCyclicGroup12

false

(2)

IsStemGroupDihedralGroup4

true

(3)

IsStemGroupDihedralGroup6

false

(4)

IsStemGroupPSL3,2

true

(5)

Compatibility

• 

The GroupTheory[IsStemGroup] command was introduced in Maple 2019.

• 

For more information on Maple 2019 changes, see Updates in Maple 2019.

See Also

GroupTheory

GroupTheory[Center]

GroupTheory[DerivedSubgroup]