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Abelian and nonabelian mathematics

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Publication:810085
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DOI10.1007/BF03024075zbMath0733.11043WikidataQ125723614 ScholiaQ125723614MaRDI QIDQ810085

I. R. Shafarevich

Publication date: 1991

Published in: The Mathematical Intelligencer (Search for Journal in Brave)


zbMATH Keywords

Class field theoryiterated integralsAbelian functionsLanglands conjecturesduality theory of abelian groupsGalois theory of abelian extensionsnilextensionsnilpotent mathematics


Mathematics Subject Classification ID

Galois theory (11R32) Nilpotent groups (20F18) Other number fields (11R21) Picard schemes, higher Jacobians (14K30) Class field theory (11R37) Langlands-Weil conjectures, nonabelian class field theory (11R39)


Related Items (6)

Description of Galois unipotent extensions ⋮ A cohomological treatise of HKG-covers with applications to the Nottingham group ⋮ Igor Rostislavovich Shafarevich and his mathematical heritage ⋮ Matrical extensions of the numerical range: a brief survey ⋮ GENERALISATIONS OF LODAY’S ASSEMBLY MAPS FOR LAWVERE’S ALGEBRAIC THEORIES ⋮ Counting Galois \(\mathbb{U}_4(\mathbb{F}_p)\)-extensions using Massey products



Cites Work

  • An elementary introduction to the Langlands program
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