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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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    AutPGrp manual
    August 2022