Multiplicative subgroups of index three in a field
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- by David B. Leep and Daniel B. Shapiro PDF
- Proc. Amer. Math. Soc. 105 (1989), 802-807 Request permission
Abstract:
Theorem. 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 $\left | F \right | = 4,7,13,{\text {or}} 16$. The elementary methods used here provide a new proof of the classical case when $F$ is finite.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 802-807
- MSC: Primary 11T99
- DOI: https://doi.org/10.1090/S0002-9939-1989-0963572-X
- MathSciNet review: 963572