Finite groups · Family

$\mathrm{D}_{2n}$ Finite dihedral groups

This site writes D₂ₙ for the group of order 2n.

Reference coverageFinite families

Definition

Symmetries of a regular n-gon: rⁿ = s² = 1 and srs⁻¹ = r⁻¹.

Parameter domain

This site writes D₂ₙ for the group of order 2n.

Parameter	Allowed values
n	integer n ≥ 3

Classification sources and conventions

Reference properties

Property	Value	Evidence
Parameter domain	n: integer n ≥ 3	Sources
Scope and restrictions	This site writes D₂ₙ for the group of order 2n.	Sources

Conventions and use

A competing convention calls the same group Dₙ. Check the order whenever importing a dihedral label. [sources]

Claims and sources

Each assertion has a stable identifier within this record and a source locator or derivation. Cite the dataset edition when referring to a corrected or historical claim.

Definition

Symmetries of a regular n-gon: rⁿ = s² = 1 and srs⁻¹ = r⁻¹.

GAP Reference Manual: Group LibrariesDihedralGroupOpen source

family:finite-dihedral#definition

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Parameter domain

n: integer n ≥ 3

GAP Reference Manual: Group LibrariesDihedralGroupOpen source

family:finite-dihedral#parameters

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Scope and restrictions

This site writes D₂ₙ for the group of order 2n.

GAP Reference Manual: Group LibrariesDihedralGroupOpen source

family:finite-dihedral#restriction

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Conventions and use

A competing convention calls the same group Dₙ. Check the order whenever importing a dihedral label.

GAP Reference Manual: Group LibrariesDihedralGroupOpen source

family:finite-dihedral#conventions-1

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D2n\mathrm{D}_{2n}D2n​Finite dihedral groups

Parameter domain

Reference properties

Conventions and use

Claims and sources

$\mathrm{D}_{2n}$ Finite dihedral groups