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Quellcode-Bibliothek CHAP005.htm
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<html><head><title>[AutPGrp] 5 Additional Features of the Package</title></head>
<body text="#000000" bgcolor="#ffffff"> [<a href = "chapters.htm">Up</a>] [<a href ="CHAP004.htm">Previous</a>] [<a href = "theindex.htm">In <h1>5 Additional Features of the Package</h1><p> <p> As an additional feature of this package we provide some functions to count extensions of <i>p</i>-groups and Lie algebras over <i>GF</i>(<i>p</i>). These functions have been used in counting the 2-groups of size 2<sup>10</sup>. <p> <a name = ""></a> <li><code>NumberOfPClass2PGroups( n, p, k )</code> <p> determines the number of <i>n</i>-generator <i>p</i>-groups of <i>p</i>-class 2 with Frattini subgroup of order 2<sup><i>k</i></sup>. <p> <a name = ""></a> <li><code>NumberOfPClass2PGroups( n, p )</code> <p> returns a list of of numbers of <i>n</i>-generator <i>p</i>-groups of <i>p</i>-class 2 with Frattini subgroup of order 2<sup><i>k</i></sup> for <i>k</i> in 1, …, <i>n</i>(<i>n</i>+1)/2. <p> <a name = ""></a> <li><code>NumberOfClass2LieAlgebras( n, p, k )</code> <p> determines the number of <i>n</i>-generator Lie algebras of class 2 over <i>GF</i>(<i>p</i>) with derived Lie subalgebra of dimension <i>k</i>. <p> <a name = ""></a> <li><code>NumberOfClass2LieAlgbras( n, p )</code> <p> returns a list of of numbers of <i>n</i>-generator Lie algebras of class 2 over <i>GF</i>(<i>p</i>) with derived Lie subalgebra of dimension <i>k</i> for <i>k</i> in 1, …, <i>n</i>(<i>n</i>−1)/2. <p> <p> [<a href = "chapters.htm">Up</a>] [<a href ="CHAP004.htm">Previous</a>] [<a href = "theindex.htm">In <P> <address>AutPGrp manual<br>April 2025 </address></body></html> ¤ Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.0.22Bemerkung: Wie Sie bei der Firma Beratungs- und Dienstleistungen beauftragen können ¤*Eine klare Vorstellung vom Zielzustand |
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2026-03-28