Multiplicative Subgroups of Index Three in a Field

DOI10.2307/2047036zbMath0684.12015OpenAlexW4256399146MaRDI QIDQ4733949

David B. Leep, Daniel B. Shapiro

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047036

zbMATH Keywords

sum of two cubesgroup of non-zero cubessubgroup of multiplicative group

Mathematics Subject Classification ID

Units, groups of units (associative rings and algebras) (16U60) General field theory (12E99)

Related Items

Additive Properties of Multiplicative Subgroups of Finite Index in Fields ⋮ Additive properties of subgroups of finite index in fields ⋮ On a different weighted zero-sum constant ⋮ On the structure of hyperfields obtained as quotients of fields ⋮ Multiplicative Subgroups of Finite Index in a Division Ring ⋮ Modular periodicity of binomial coefficients ⋮ Multiplicative Subgroups of Finite Index in a Ring

Cites Work

• Cubic congruences
• Extended Artin-Schreier theory of fields
• Equations et variétés algébriques sur un corps fini
• The Diophantine equation \(ax^3+by^3+cz^3=0\)
• Sums of Powers in Large Finite Fields
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