Goto Chapter: Top 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Ind
 Top of Book   Previous Chapter   Next Chapter 

25. Miscellaneous

25. Miscellaneous

BigStepLCS(G,n)

Inputs a group G and a positive integer n. It returns a subseries G=L_1>L_2>... L_k=1 of the lower central series of G such that L_i/L_i+1 has order greater than n.

Classify(L,Inv)

Inputs a list of objects L and a function Inv which computes an invariant of each object. It returns a list of lists which classifies the objects of L according to the invariant..

RefineClassification(C,Inv)

Inputs a list C:=Classify(L,OldInv) and returns a refined classification according to the invariant Inv.

Compose(f,g)

Inputs two FpG-module homomorphisms f:M --> N and g:L --> M with Source(f)=Target(g) . It returns the composite homomorphism fg:L --> N .

This also applies to group homomorphisms f,g.

HAPcopyright()

This function provides details of HAP'S GNU public copyright licence.

IsLieAlgebraHomomorphism(f)

Inputs an object f and returns true if f is a homomorphism f:A --> B of Lie algebras (preserving the Lie bracket).

IsSuperperfect(G)

Inputs a group G and returns "true" if both the first and second integral homology of G is trivial. Otherwise, it returns "false".

MakeHAPManual()

This function creates the manual for HAP from an XML file.

PermToMatrixGroup(G,n)

Inputs a permutation group G and its degree n. Returns a bijective homomorphism f:G --> M where M is a group of permutation matrices.

SolutionsMatDestructive(M,B)

Inputs an m×n matrix M and a k×n matrix B over a field. It returns a k×m matrix S satisfying SM=B.

The function will leave matrix M unchanged but will probably change matrix B.

(This is a trivial rewrite of the standard GAP function SolutionMatDestructive(<mat>,<vec>) .)

TestHap()

This runs a representative sample of HAP functions and checks to see that they produce the correct output.


 


 Top of Book   Previous Chapter   Next Chapter 
Goto Chapter: Top 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Ind

generated by GAPDoc2HTML