TY - JOUR

T1 - Multiplicative subgroups of index three in a field

AU - Leep, David B.

AU - Shapiro, Daniel B.

N1 - Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.

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 - http://www.scopus.com/inward/record.url?scp=33645280094&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645280094&partnerID=8YFLogxK

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 -