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 \(1, \ldots, n(n+1)/2\).
‣ 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 \(1, \ldots, n(n-1)/2\).
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