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Cyclically ordered group

In mathematics, a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order.

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Overview

15 related topics

Quotients of linear groups

4 related topics

The circle group

3 related topics

Related structures

3 related topics

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Overview

Quotients of linear groups

The circle group

Topology

Related structures

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Map overview Semantic statistics

Cyclically ordered group

Nodes32
Edges31
Triples24
Avg. degree1.94
Density0.0625
Components1

How this topic connects Entity context

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Cyclically ordered group

Top relations

related to Quotients of linear groups · 9
Cyclically ordered group → Even, For, It, Moreover, R/Z, Rieger, Z/nZ, Z2, Zn
related to The circle group · 8
Cyclically ordered group → Archimedean, By, For, Given, In, Moreover, Rieger's, Since
is a · 3
Cyclically ordered group → set with both a group structure and a cyclic order, subgroup of T, subgroup of T itself
related to Related structures · 3
Cyclically ordered group → Gluschankof, Ic-groups, MV-algebras
related to Topology · 1
Cyclically ordered group → Every

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Important terminology

ordered cyclically group groups subgroup every cyclic circle linear since linearly order generalization rational 1947 one archimedean rieger quotients mathematics

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cyclically ordered groupis aset with both a group structure and a cyclic order0.90text
Cyclically ordered groupis asubgroup of T itself0.90text
Cyclically ordered groupis asubgroup of T0.90text
Cyclically ordered grouprelated to Quotients of linear groupsIt0.60section
Cyclically ordered grouprelated to Quotients of linear groupsZn0.60section
Cyclically ordered grouprelated to Quotients of linear groupsZ/nZ0.60section
Cyclically ordered grouprelated to Quotients of linear groupsR/Z0.60section
Cyclically ordered grouprelated to Quotients of linear groupsEven0.60section
Cyclically ordered grouprelated to Quotients of linear groupsZ20.60section
Cyclically ordered grouprelated to Quotients of linear groupsRieger0.60section
Cyclically ordered grouprelated to Quotients of linear groupsFor0.60section
Cyclically ordered grouprelated to Quotients of linear groupsMoreover0.60section

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