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Fitting length

In mathematics, specifically in the area of algebra known as group theory, the Fitting length (or nilpotent length) measures how far a solvable group is from being nilpotent. The concept is named after Hans Fitting, due to his investigations of nilpotent normal subgroups.

Upper and lower Fitting series, Definition & Examples

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Overview

Definition

Upper and lower Fitting series

Examples

Properties

Connection between central series and Fitting series

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Map overview Semantic statistics

Fitting length

Nodes30
Edges29
Triples38
Avg. degree1.93
Density0.066667
Components1

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Fitting length

Top relations

related to References · 19
Fitting length → Alexandre, Berlin, EMS Press, EMS PressTurull, Encyclopedia, Endliche Gruppen, Fitting, German, Huppert, ISBN, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mathematics, MR, New York, OCLC, Springer-Verlag, Wikisource-logo
related to Properties · 14
Fitting length → Explicitly, Fi, Fiti, Fitting, For, H0, H1, Hi, Hn, Huppert, III, Kap, More, The
related to Definition · 3
Fitting length → Fitting, In, The Fitting
related to Examples · 2
Fitting length → Fitting, The

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Important terminology

fitting group series nilpotent solvable lower central length chain upper subgroups subgroup finite symmetric points normal quotients mathematics sequence whole

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Fitting lengthrelated to DefinitionFitting0.60section
Fitting lengthrelated to DefinitionIn0.60section
Fitting lengthrelated to DefinitionThe Fitting0.60section
Fitting lengthrelated to ExamplesFitting0.60section
Fitting lengthrelated to ExamplesThe0.60section
Fitting lengthrelated to PropertiesFitting0.60section
Fitting lengthrelated to PropertiesThe0.60section
Fitting lengthrelated to PropertiesExplicitly0.60section
Fitting lengthrelated to PropertiesFor0.60section
Fitting lengthrelated to PropertiesH00.60section
Fitting lengthrelated to PropertiesH10.60section
Fitting lengthrelated to PropertiesHn0.60section

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    Min side: 3
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