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MAGMA Computational Algebra System

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Access Functions

The functions described here provide access to basic information stored for an automorphism group A.

Group(A) : GrpAuto -> Grp
Given a group of automorphisms A of the group G, return the base group G on which A acts.
NumberOfGenerators(A) : GrpAuto -> RngIntElt
Ngens(A) : GrpAuto -> RngIntElt
Given a group of automorphisms A of the group G, return the number of defining generators for A.
Generators(A) : GrpAuto -> SetEnum
Given a group of automorphisms A of the group G, return a set containing the defining generators of A.
InnerGenerators(A) : GrpAuto -> SeqEnum
Given the full group of automorphisms A of the group G, return a sequence of generators for the inner automorphism group of the base group of A (attribute InnerGenerators), if this attribute has been set.

CharacteristicSeries(A) : GrpAuto -> SeqEnum
Given a group of automorphisms A of the group G, return the value of the characteristic series of G used to compute A, if this attribute has been set.
IsSoluble(A) : GrpAuto -> BoolElt
IsSolvable(A) : GrpAuto -> BoolElt
Given a group of automorphisms A of the group G, return the value of A's attribute Soluble, if this attribute has been set.
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