Multiplicative subgroups of index three in a field

David B. Leep; Daniel B. Shapiro

doi:10.1090/S0002-9939-1989-0963572-X

Multiplicative subgroups of index three in a field

David B. Leep
, Daniel B. Shapiro

Mathematics

Producción científica: Article › revisión exhaustiva

9 Citas (Scopus)

Resumen

If G be a subgroup of index 3 in the multiplicative group F* of a field F , then G + G = F , except in the cases ∣F∣ = 4 , 7 , 13, or 16. The elementary methods used here provide a new proof of the classical case when F is finite.

Idioma original	English
Páginas (desde-hasta)	802-807
Número de páginas	6
Publicación	Proceedings of the American Mathematical Society
Volumen	105
N.º	4
DOI	https://doi.org/10.1090/S0002-9939-1989-0963572-X
Estado	Published - abr 1989

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Acceder al documento

10.1090/S0002-9939-1989-0963572-X

Otros archivos y enlaces

Citar esto

@article{faa2666c2a454d49a6fc03fc93156c31,

title = "Multiplicative subgroups of index three in a field",

abstract = "If G be a subgroup of index 3 in the multiplicative group F* of a field F , then G + G = F , except in the cases ∣F∣ = 4 , 7 , 13, or 16. The elementary methods used here provide a new proof of the classical case when F is finite.",

author = "Leep, \{David B.\} and Shapiro, \{Daniel B.\}",

year = "1989",

month = apr,

doi = "10.1090/S0002-9939-1989-0963572-X",

language = "English",

volume = "105",

pages = "802--807",

number = "4",

}

TY - JOUR

T1 - Multiplicative subgroups of index three in a field

AU - Leep, David B.

AU - Shapiro, Daniel B.

PY - 1989/4

Y1 - 1989/4

N2 - If G be a subgroup of index 3 in the multiplicative group F* of a field F , then G + G = F , except in the cases ∣F∣ = 4 , 7 , 13, or 16. The elementary methods used here provide a new proof of the classical case when F is finite.

AB - If G be a subgroup of index 3 in the multiplicative group F* of a field F , then G + G = F , except in the cases ∣F∣ = 4 , 7 , 13, or 16. The elementary methods used here provide a new proof of the classical case when F is finite.

UR - https://www.scopus.com/pages/publications/33645280094

UR - https://www.scopus.com/pages/publications/33645280094#tab=citedBy

U2 - 10.1090/S0002-9939-1989-0963572-X

DO - 10.1090/S0002-9939-1989-0963572-X

M3 - Article

AN - SCOPUS:33645280094

SN - 0002-9939

VL - 105

SP - 802

EP - 807

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

Multiplicative subgroups of index three in a field

Resumen

ASJC Scopus subject areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto