As an additional feature of this package we provide some functions to count extensions of p-groups and Lie algebras over GF(p). These functions have been used in counting the 2-groups of size 2^10.
‣ NumberOfPClass2PGroups( n, p, k ) | ( operation ) |
This function determines the number of n-generator p-groups of p-class 2 with Frattini subgroup of order 2^k.
‣ NumberOfPClass2PGroups( n, p ) | ( operation ) |
This function returns a list of of numbers of n-generator p-groups of p-class 2 with Frattini subgroup of order 2^k for k in 1, ..., n(n+1)/2.
‣ NumberOfClass2LieAlgebras( n, p, k ) | ( operation ) |
This function determines the number of n-generator Lie algebras of class 2 over GF(p) with derived Lie subalgebra of dimension k.
‣ NumberOfClass2LieAlgbras( n, p ) | ( operation ) |
This function returns a list of of numbers of n-generator Lie algebras of class 2 over GF(p) with derived Lie subalgebra of dimension k for k in 1, ..., n(n-1)/2.
generated by GAPDoc2HTML