The bireflections of a permutation

Gadi Moran

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

The bireflections of a permutation

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

Access to Document

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

Cite this

@article{fd096bffce6c4318b74d718287ad3eb3,

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",

doi = "10.1016/0012-365X(76)90109-6",

language = "English",

volume = "15",

pages = "55--62",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - The bireflections of a permutation

AU - Moran, Gadi

PY - 1976

Y1 - 1976

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=49549136251&partnerID=8YFLogxK

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

Access to Document

Other files and links

Fingerprint

Cite this