| Quellcodebibliothek Statistik Leitseite products/sources/formale Sprachen/GAP/pkg/autpgrp/doc/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 10.3.2025 mit Größe 1 kB |
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Quelle additional.tex Sprache: Latech |
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%% %A additional.tex AutPGrp documentation Bettina Eick %A Eamonn O'Brien %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \Chapter{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 $2^{10}$. \> NumberOfPClass2PGroups( n, p, k ) determines the number of $n$-generator $p$-groups of $p$-class 2 with Frattini subgroup of order $2^k$. \> NumberOfPClass2PGroups( n, p ) 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 ) 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 $1, \ldots, n(n-1)/2$. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ¤ Dauer der Verarbeitung: 0.1 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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2026-03-28