|
The functions described here provide access to basic information stored
for an automorphism group A.
Given a group of automorphisms A of the group G, return the base
group G on which A acts.
Ngens(A) : GrpAuto -> RngIntElt
Given a group of automorphisms A of the group G, return the number
of defining generators for A.
NPCGenerators(A) : GrpAuto -> RngIntElt
NPCgens(A) : GrpAuto -> RngIntElt
Given a group of automorphisms A of the group G, where a pc-representation
has been created for A (and attribute PCGenerators is set on A),
return the number of pc-generators for A.
Given a group of automorphisms A of the group G, return a set
containing the defining generators of A.
Given a group of automorphisms A of the group G, where a pc-representation
has been created for A (and attribute PCGenerators is set on A),
return an indexed set containing the pc-generators of A.
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.
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.
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.
IsSolvableAutomorphismGroupPGroup(A) : GrpAuto -> BoolElt
Given a group of automorphisms A of a p-group G constructed using
the intrinsic AutomorphismGroup(G) or any equivalent alias, determine
if A is soluble and return the result. This function also sets the
Soluble attribute on A.
[Next][Prev] [Right] [Left] [Up] [Index] [Root]
|