GroupTheory/IsAlmostSimple - Help

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GroupTheory

  

IsAlmostSimple

  

determine whether a group is almost simple

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsAlmostSimple( G )

Parameters

G

-

a permutation group

Description

• 

A group G is almost simple if it has an unique minimal normal subgroup which is a non-Abelian simple group. Alternatively, the group G is almost simple if, up to isomorphism, we have SG and GAutS, for a non-Abelian simple group S.

• 

The IsAlmostSimple( G ) command returns true if the group G is almost simple, and returns false otherwise.

Examples

withGroupTheory:

IsAlmostSimpleSymm3

false

(1)

IsAlmostSimpleSymm4

false

(2)

IsAlmostSimpleSymm5

true

(3)

IsAlmostSimplePSL2,5

true

(4)

IsAlmostSimpleCyclicGroup11

false

(5)

Compatibility

• 

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

• 

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

See Also

GroupTheory

GroupTheory[IsSimple]