Reductions of the Main Conjecture

DOI10.1007/978-3-642-32199-3_2zbMath1270.11111OpenAlexW202862179MaRDI QIDQ4912833

R. Sujatha

Publication date: 26 March 2013

Published in: Noncommutative Iwasawa Main Conjectures over Totally Real Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-32199-3_2

zbMATH Keywords

Iwasawa theory\(K\)-theorymain conjecture\(p\)-adic Lie groups

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (3)

On the p‐adic Stark conjecture at s=1 and applications ⋮ On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture ⋮ On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture

Cites Work

• On the structure theory of the Iwasawa algebra of a \(p\)-adic Lie group.
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• The Iwasawa conjecture for totally real fields
• On the “main conjecture” of equivariant Iwasawa theory
• Proof of the main conjecture of noncommutative Iwasawa theory for totally real number fields in certain cases
• Norms of Units in Group Rings
• Introduction to the Work of M. Kakde on the Non-commutative Main Conjectures for Totally Real Fields
• K 1 of Certain Iwasawa Algebras, After Kakde
• On the Work of Ritter and Weiss in Comparison with Kakde’s Approach
• Introduction to Algebraic K-Theory. (AM-72)
• Algebraic \(K\)-theory
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