[AutPGrp] 5 Additional Features of the Package

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# 5 Additional Features of the Package

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 210.

- `NumberOfPClass2PGroups( n, p, k )`

  determines the number of n-generator p-groups of p-class 2 with Frattini subgroup of order 2k.

- `NumberOfPClass2PGroups( n, p )`

  returns a list of of numbers of n-generator p-groups of p-class 2 with Frattini subgroup of order 2k for k in 1, …, n(n+1)/2.

- `NumberOfClass2LieAlgebras( n, p, k )`

  determines the number of n-generator Lie algebras of class 2 over GF(p) with derived Lie subalgebra of dimension k.

- `NumberOfClass2LieAlgbras( n, p )`

  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.

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