Fitting ideals of Jacobian groups of graphs

DOI10.5802/ALCO.355zbMATH Open1542.05076MaRDI QIDQ6564443

Takenori Kataoka

Publication date: 1 July 2024

Published in: Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Ihara zeta functionsfitting idealsJacobian groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Iwasawa theory (11R23) Syzygies, resolutions, complexes in associative algebras (16E05)

Cites Work

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• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• The second syzygy of the trivial \(G\)-module, and an equivariant main conjecture
• Fitting invariants in equivariant Iwasawa theory
• Iwasawa theory of Jacobians of graphs
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• Tate sequences and Fitting ideals of Iwasawa modules
• On Γ-extensions of algebraic number fields
• Fine Selmer groups of congruent p-adic Galois representations
• On abelian \(\ell \)-towers of multigraphs. II
• The special value 𝑢=1 of Artin-Ihara 𝐿-functions
• Fitting ideals of class groups for CM abelian extensions

Related Items (2)

Spanning trees in \(\mathbb{Z} \)-covers of a finite graph and Mahler measures ⋮ Iwasawa theory for branched \(\mathbb{Z}_p\)-towers of finite graphs

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