GAP (AutPGrp) - Chapter 5: Additional features of the package

Goto Chapter: Top 1 2 3 4 5 Ind
[Top of Book] [Contents] [Previous Chapter] [Next Chapter]

[MathJax on]

5 Additional features of the package
5.1 Additional features of the package
5.1-1 NumberOfPClass2PGroups
5.1-2 NumberOfPClass2PGroups
5.1-3 NumberOfClass2LieAlgebras
5.1-4 NumberOfClass2LieAlgbras

### 5 Additional features of the package

#### 5.1 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 2^10.

##### 5.1-1 NumberOfPClass2PGroups

`‣ 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`.

##### 5.1-2 NumberOfPClass2PGroups

`‣ 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.

##### 5.1-3 NumberOfClass2LieAlgebras

`‣ 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.

##### 5.1-4 NumberOfClass2LieAlgbras

`‣ 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.

[Top of Book] [Contents] [Previous Chapter] [Next Chapter]
Goto Chapter: Top 1 2 3 4 5 Ind

generated by GAPDoc2HTML