Determining class groups as Galois modules up to equivalence for some nonabelian extensions
Fuente:
arXiv
Saved in:
| Main Authors: | Greither, Cornelius, Kataoka, Takenori |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the Galois module structure of minus class groups
by: Greither, Cornelius, et al.
Published: (2024)
by: Greither, Cornelius, et al.
Published: (2024)
Construction of a $p$-extension of number fields whose unit group has prescribed Galois module structure
by: Kataoka, Takenori, et al.
Published: (2026)
by: Kataoka, Takenori, et al.
Published: (2026)
Rarity of pseudo-null Iwasawa modules for $p$-adic Lie extensions
by: Kataoka, Takenori
Published: (2024)
by: Kataoka, Takenori
Published: (2024)
Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
by: Kataoka, Takenori, et al.
Published: (2025)
by: Kataoka, Takenori, et al.
Published: (2025)
Minimal resolutions of Iwasawa modules
by: Kataoka, Takenori, et al.
Published: (2024)
by: Kataoka, Takenori, et al.
Published: (2024)
Kida's formula via Selmer complexes
by: Kataoka, Takenori
Published: (2024)
by: Kataoka, Takenori
Published: (2024)
Kida's formula for graphs with ramifications
by: Kataoka, Takenori
Published: (2024)
by: Kataoka, Takenori
Published: (2024)
Algorithms for determination of t-module structures on some extension groups
by: Głoch, Filip, et al.
Published: (2024)
by: Głoch, Filip, et al.
Published: (2024)
Construction of graph coverings with prescribed Iwasawa invariants
by: Kataoka, Takenori
Published: (2026)
by: Kataoka, Takenori
Published: (2026)
On the local equivariant Tamagawa number conjecture for Tate motives
by: Atsuta, Mahiro, et al.
Published: (2025)
by: Atsuta, Mahiro, et al.
Published: (2025)
On the $p$-ranks of class groups of certain Galois extensions
by: Asarhasa, Ufuoma, et al.
Published: (2024)
by: Asarhasa, Ufuoma, et al.
Published: (2024)
Ramification groups of some finite Galois extensions of maximal nilpotency class over local fields of positive characteristic
by: Imai, Koto
Published: (2021)
by: Imai, Koto
Published: (2021)
The decomposition of primes in nonabelian extensions of Heisenberg type and an analogue of Euler's criterion
by: Kim, Dohyeong, et al.
Published: (2025)
by: Kim, Dohyeong, et al.
Published: (2025)
The Hasse norm principle for some non-Galois extensions of square-free degree
by: Oki, Yasuhiro
Published: (2023)
by: Oki, Yasuhiro
Published: (2023)
Construction of a cyclic $p$-extension of number fields whose unit group has prescribed Galois module structure
by: Ozaki, Manabu
Published: (2025)
by: Ozaki, Manabu
Published: (2025)
Hopf-Galois module structure of degree p extensions of p-adic fields
by: Gil-Muñoz, Daniel
Published: (2024)
by: Gil-Muñoz, Daniel
Published: (2024)
Unramified extensions of quadratic number fields with Galois group $2.A_n$
by: König, Joachim
Published: (2025)
by: König, Joachim
Published: (2025)
Presentations of Galois groups of unramified extensions of global fields and its predicted distribution
by: Willyard, Ken
Published: (2026)
by: Willyard, Ken
Published: (2026)
Counting wildly ramified quartic extensions with prescribed discriminant and Galois closure group
by: Monnet, Sebastian
Published: (2023)
by: Monnet, Sebastian
Published: (2023)
Unramified extensions of quadratic number fields with Galois group $SL_2(7)$
by: König, Joachim
Published: (2021)
by: König, Joachim
Published: (2021)
Quotient sets in nonabelian groups
by: Lev, Vsevolod F.
Published: (2024)
by: Lev, Vsevolod F.
Published: (2024)
Enumerating Galois extensions of number fields
by: Oliver, Robert J. Lemke
Published: (2024)
by: Oliver, Robert J. Lemke
Published: (2024)
Low degree extensions with Cyclic class group
by: Krishnamoorthy, Srilakshmi, et al.
Published: (2021)
by: Krishnamoorthy, Srilakshmi, et al.
Published: (2021)
Ramification groups of Galois extensions over local fields of positive characteristic with Galois group isomorphic to the group of unitriangular matrices
by: Imai, Koto
Published: (2025)
by: Imai, Koto
Published: (2025)
The imaginary case of the nonabelian Cohen--Lenstra heuristics
by: Liu, Yuan, et al.
Published: (2025)
by: Liu, Yuan, et al.
Published: (2025)
On automorphisms of some semidirect product groups and ranks of Iwasawa modules
by: Fujii, Satoshi
Published: (2025)
by: Fujii, Satoshi
Published: (2025)
A generalization of Kummer theory to Hopf-Galois extensions
by: Gil-Muñoz, Daniel
Published: (2023)
by: Gil-Muñoz, Daniel
Published: (2023)
Galois scaffolds for extraspecial p-extensions in characteristic 0
by: Keating, Kevin, et al.
Published: (2024)
by: Keating, Kevin, et al.
Published: (2024)
On the Hilbert $2$-class field towers of some cyclotomic $\mathbb{Z}_2$-extensions
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2020)
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2020)
Galois groups of random integer matrices
by: Anderson, Theresa C., et al.
Published: (2025)
by: Anderson, Theresa C., et al.
Published: (2025)
On cubic polynomials with the cyclic Galois group
by: Kochetkov, Yury
Published: (2024)
by: Kochetkov, Yury
Published: (2024)
Free product of Demushkin groups as absolute Galois group
by: Bar-On, Tamar
Published: (2024)
by: Bar-On, Tamar
Published: (2024)
Arithmetic of some real triquadratic fields; Units and 2-class groups
by: Chems-Eddin, Mohamed Mahmoud
Published: (2021)
by: Chems-Eddin, Mohamed Mahmoud
Published: (2021)
Galois representations, $(φ, Γ)$-modules and prismatic F-crystals
by: Wu, Zhiyou
Published: (2021)
by: Wu, Zhiyou
Published: (2021)
Monogenic even sextic trinomials and their Galois groups
by: Jones, Lenny
Published: (2026)
by: Jones, Lenny
Published: (2026)
The monogenicity and Galois groups of certain reciprocal quintinomials
by: Jones, Lenny
Published: (2024)
by: Jones, Lenny
Published: (2024)
Mordell-Weil group as Galois modules
by: Vavasour, Thomas, et al.
Published: (2023)
by: Vavasour, Thomas, et al.
Published: (2023)
On rational connectedness and parametrization of finite Galois extensions
by: Krashen, Daniel, et al.
Published: (2025)
by: Krashen, Daniel, et al.
Published: (2025)
Conjectures for distributions of class groups of extensions of number fields containing roots of unity
by: Sawin, Will, et al.
Published: (2023)
by: Sawin, Will, et al.
Published: (2023)
Algebraic norm and capitulation of p-class groups in ramified cyclic p-extensions
by: Gras, Georges
Published: (2022)
by: Gras, Georges
Published: (2022)
Similar Items
-
On the Galois module structure of minus class groups
by: Greither, Cornelius, et al.
Published: (2024) -
Construction of a $p$-extension of number fields whose unit group has prescribed Galois module structure
by: Kataoka, Takenori, et al.
Published: (2026) -
Rarity of pseudo-null Iwasawa modules for $p$-adic Lie extensions
by: Kataoka, Takenori
Published: (2024) -
Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
by: Kataoka, Takenori, et al.
Published: (2025) -
Minimal resolutions of Iwasawa modules
by: Kataoka, Takenori, et al.
Published: (2024)