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.
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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 -