Multiplicative subgroups of index three in a field

David B. Leep, Daniel B. Shapiro

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish
Pages (from-to)802-807
Number of pages6
JournalProceedings of the American Mathematical Society
Issue number4
StatePublished - Apr 1989

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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