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Řád prvku

Řád prvku a {\displaystyle a\,\!} v grupě G {\displaystyle G\,\!} je takové nejmenší přirozené číslo n {\displaystyle n\,\!} , že a n = 1 {\displaystyle a^{n}=1\,\!} (přičemž 1 {\displaystyle 1\,\!} je neutrální prvek grupy G {\displaystyle G\,\!} ), značíme jej ord a {\displaystyle \operatorname {ord} \,a\,\!} nebo | a | {\displaystyle |a|\,\!} .

Tvrzení, Definice & Odkazy

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Explore the main themes, entities and connections around Řád prvku. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Tvrzení

Lagrangeovy větyGenerátoremHomomorfismusInjektivní
4 related topics

Definice

Cyklická grupa
1 related topics

Odkazy

Řád grupy
1 related topics

Overview

GrupěNeutrální prvek
2 related topics

Topics to explore

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Overview

Definice

Tvrzení

Literatura

  • ISBN International Standard Book Number

Odkazy

Advanced semantic analysis

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Map overview Semantic statistics

Řád prvku

Nodes15
Edges14
Triples7
Avg. degree1.87
Density0.133333
Components1

How this topic connects Entity context

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Řád prvku

Top relations

related to Tvrzení · 5
Řád prvku → Buď, Je-li, Lagrangeovy, Neutrální, Pokud
related to Definice · 2
Řád prvku → Buď, Je-li

Important terminology Word statistics

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Important terminology

grupy displaystyle řád prvku prvek grupa pak řádu ord operatorname grupě cyklická neutrální buď in je-li generovaná roven plyne grup

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Řád prvkurelated to DefiniceBuď0.60section
Řád prvkurelated to DefiniceJe-li0.60section
Řád prvkurelated to TvrzeníLagrangeovy0.60section
Řád prvkurelated to TvrzeníPokud0.60section
Řád prvkurelated to TvrzeníBuď0.60section
Řád prvkurelated to TvrzeníJe-li0.60section
Řád prvkurelated to TvrzeníNeutrální0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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