The bireflections of a permutation

Gadi Moran

doi:10.1016/0012-365X(76)90109-6

The bireflections of a permutation

Gadi Moran

Research output: Contribution to journal › Article › peer-review

Abstract

A bireflection of a permutation θ is an ordered pair (φ, ψ) of permutations satisfying φ² = ψ² = 1, θ = φψ. The family of bireflections of a permutation is studied. As a corollary an expression for the number of dihedral groups over θ in S_A is obtained.

Original language	English
Pages (from-to)	55-62
Number of pages	8
Journal	Discrete Mathematics
Volume	15
Issue number	1
DOIs	https://doi.org/10.1016/0012-365X(76)90109-6
State	Published - 1976
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(76)90109-6

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title = "The bireflections of a permutation",

abstract = "A bireflection of a permutation θ is an ordered pair (φ, ψ) of permutations satisfying φ2 = ψ2 = 1, θ = φψ. The family of bireflections of a permutation is studied. As a corollary an expression for the number of dihedral groups over θ in SA is obtained.",

author = "Gadi Moran",

year = "1976",

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AB - A bireflection of a permutation θ is an ordered pair (φ, ψ) of permutations satisfying φ2 = ψ2 = 1, θ = φψ. The family of bireflections of a permutation is studied. As a corollary an expression for the number of dihedral groups over θ in SA is obtained.

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U2 - 10.1016/0012-365X(76)90109-6

DO - 10.1016/0012-365X(76)90109-6

M3 - Article

AN - SCOPUS:49549136251

SN - 0012-365X

VL - 15

SP - 55

EP - 62

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1

ER -

The bireflections of a permutation

Abstract

ASJC Scopus subject areas

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