Uses of Class
repthy.Subgroup

Uses of Subgroup in repthy

Fields in repthy declared as Subgroup

protected Subgroup

HeckeAlgebra.GH Caches the result of HeckeAlgebra.makeSubgroup().

Methods in repthy that return Subgroup

protected Subgroup	HeckeAlg_PGL_U.makeSubgroup()
Subgroup	PSL3.getParabolic12() The maximal parabolic subgroup fixing the point [1,0,0] in P2(p).
Subgroup	PSL3.getParabolic21() The maximal parabolic subgroup fixing the line [x,y,0] in P2(p).
Subgroup	PSL3.getNormalizerSplitTorus() Preserves a triangle in P2(p), making all six permutations of the vertices.
Subgroup	PSL3.getNonSplitTorus() Returns a non-split torus, where the underlying subgroup is a C_n.
Subgroup	PSL3.getNormalizerNonSplitTorus() Preserves a triangle in P2(p3), though not in P2(p), making cyclic permutations of the vertices.
Subgroup	PSL3.getOrthogonalGroup(byte d) Returns the subgroup preserving the quadratic form {1,1,d} up to scalar multiples.
Subgroup	PSL3.getHessianDiv216()
protected Subgroup	HeckeAlg_GL_U.makeSubgroup()
Subgroup	C_n.getSylow(int p)
Subgroup	PSL3b.getParabolic12() The maximal parabolic subgroup fixing the point [1,0,0] in P2(p).
Subgroup	PSL3b.getParabolic21() The maximal parabolic subgroup fixing the line [x,y,0] in P2(p).
Subgroup	PSL3b.getNormalizerSplitTorus() Preserves a triangle in P2(p), making all six permutations of the vertices.
Subgroup	PSL3b.getNonSplitTorus() Returns a non-split torus, where the underlying subgroup is a C_n.
Subgroup	PSL3b.getNormalizerNonSplitTorus() Preserves a triangle in P2(p3), though not in P2(p), making cyclic permutations of the vertices.
Subgroup	PSL3b.getOrthogonalGroup(byte d) Returns the subgroup preserving the quadratic form {1,1,d} up to scalar multiples.
Subgroup	PSL3b.getHessianDiv216()
Subgroup	AbelianGroup.getSylow(int p) Returns the unique Sylow p-subgroup of this group, as a Subgroup in which the underlying subgroup is a PGroup.
Subgroup	S_n.getStabilizer(int i) Returns the subgroup consisting of elements that fix i.
Subgroup	D_2n.getCyclicSubgroup() Returns the cyclic subgroup generated by R, as a Subgroup.
Subgroup	Q_8.getSylow(int p)
protected Subgroup	HeckeAlg_GL_B.makeSubgroup()
Subgroup	QuotientGroup.getSubgp() Returns the Subgroup (G, H) that was used to construct this group G/H.
protected abstract Subgroup	HeckeAlgebra.makeSubgroup() Returns the subgroup (G, H).
Subgroup	HeckeAlgebra.getSubgroup() Returns the subgroup (G, H).
Subgroup	HashHomom.getKernel()
Subgroup	GpCharacter.getKernel() Returns (G, H), where H is the set of elements of G that map to the identity under the representation associated to this character.
Subgroup	Subgroup.getCentralizer() Returns a pair (G, C) where C is the centralizer of H in G.
Subgroup	Subgroup.getNormalizer() Returns a pair (G, N) where N is the normalizer of H in G.
Subgroup	Group.getCentralizer(GroupElt g) Returns the centralizer of g in this group.
Subgroup	Group.getCenter() Returns the center of this group.
Subgroup	Group.getCommutatorSubgroup() Returns (G, [G,G]).
Subgroup	Group.getSylow(int p) Returns one of the Sylow p-subgroups of this group, as a Subgroup in which the underlying subgroup is a PGroup.
Subgroup	Group.getProperNormalSubgroup() Returns a normal subgroup properly containing {1} and properly contained in this group, or return nulls if such a normal subgroup doesn't exist.

Constructors in repthy with parameters of type Subgroup

QuotientGroupElt(GroupElt g, Subgroup GcontainingH)
Constructor.

QuotientGroup(Subgroup GcontainingH)
Constructor.