| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/smallsemi/gap/ (GAP Algebra Version 4.15.1©) Datei vom 25.1.2025 mit Größe 1 kB |
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Quelle 3nil.gd Sprache: Shell |
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############################################################################# ## ## 3nil.gd Smallsemi - a GAP library of semigroups ## Copyright (C) 2024 Andreas Distler & James D. Mitchell ## ## Licensing information can be found in the README file of this package. ## ############################################################################# ## # <#GAPDoc Label="Nr3NilpotentSemigroups"> # <ManSection> # <Func Name="Nr3NilpotentSemigroups" Arg="n[, type]"/> # <Description> # returns the number of 3-nilpotent semigroups on a set with <A>n</A> # elements. If the optional argument <A>type</A> is given it must be one # of <C>"UpToEquivalence", "UpToIsomorphism", "SelfDual", "Commutative", # "Labelled", "Labelled-Commutative"</C>. # The number will be returned for the respective type of semigroup. # By default <A>type</A> is <C>"UpToEquivalence"</C>. # <P/> # The function implements the formulae calculating the number of # 3-nilpotent semigroups developed in <Cite Key="Dis10"/> # <Example><![CDATA[ # gap> Nr3NilpotentSemigroups(4); # 8 # gap> Nr3NilpotentSemigroups(9, "UpToIsomorphism"); # 105931872028455 # gap> Nr3NilpotentSemigroups(9, "Labelled"); # 38430603831264883632 # gap> Nr3NilpotentSemigroups(16, "SelfDual"); # 4975000837941847814744710290469890455985530 # gap> Nr3NilpotentSemigroups(19, "Commutative"); # 12094270656160403920767935604624748908993169949317454767617795 # ]]></Example> # </Description> # </ManSection> # <#/GAPDoc> DeclareGlobalFunction("Nr3NilpotentSemigroups");
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2026-11-04