scientific article
From MaRDI portal
Publication:3966247
zbMath0501.12012MaRDI QIDQ3966247
Publication date: 1983
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Galois module structurefunctional equation of Artin L-functionsintegral group ring \(\mathbb ZG\) of Galois groupinvariants of tamely ramified Galois extensionroot numbers of symplectic charactersstructure of ring of integers
Galois theory (11R32) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Algebraic numbers; rings of algebraic integers (11R04)
Related Items (only showing first 100 items - show all)
Galois structure in weakly ramified extensions of \(\mathbb Q\) ⋮ On normal integral bases of local fields ⋮ On the surjectivity of some trace maps ⋮ On a relative normal integral basis problem over abelian number fields ⋮ Nontrivial Galois module structure of cyclotomic fields ⋮ The epsilon constant conjecture for higher dimensional unramified twists of (1) ⋮ Relative Galois module structure of octahedral extensions ⋮ Normal integral bases in Kummer extensions of prime degree ⋮ Principal homogeneous spaces, elliptic units and \(L\)-functions ⋮ Equivariant epsilon constant conjectures for weakly ramified extensions ⋮ Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groups ⋮ Hopf-Galois module structure of tame \(C_p \times C_p\) extensions ⋮ Derived heights and generalized Mazur-Tate regulators ⋮ Abelian varieties and Galois module structure in global function fields ⋮ On twisted Galois-Gauß sums and canonical factorizations ⋮ Galois module structure of ideals in wildly ramified cyclic extensions of degree \(p^ 2\) ⋮ Commutative Hopf-Galois module structure of tame extensions ⋮ On Steinitz classes, realizable Galois module classes and embedding problems for non-abelian extensions of degree a power of 2 ⋮ Galois module structure of the square root of the inverse different in even degree tame extensions of number fields ⋮ Relative integral normal bases in \({\mathbb{Q}}(\zeta_ p)\) ⋮ On wild ramification in quaternion extensions ⋮ Realizable classes by non-abelian metacyclic extensions and Stickelberger elements ⋮ Galois module structure and Jacobians of Fermat curves ⋮ Algorithmic proof of the epsilon constant conjecture ⋮ Galois module structure of the rings of integers in wildly ramified extensions ⋮ Relative Galois module structure of integers of abelian fields ⋮ Realizable classes of nonabelian extensions of order \(p^3\) ⋮ Unramified quaternion extensions of quadratic number fields ⋮ Galois structure of de Rham cohomology ⋮ Normal bases for quadratic extensions inside cyclotomic fields ⋮ Un anneau d'entiers stablement libre et non libre ⋮ The integral logarithm in Iwasawa theory: an exercise ⋮ Relative normal bases of positive characteristic ⋮ Construction of normal bases for absolute Galois extensions with quaternionic Galois group of order 12 ⋮ \(K_{1}\) of a \(p\)-adic group ring. I. The determinantal image ⋮ Equivariant Euler characteristics and sheaf resolvents ⋮ Computing isomorphisms between lattices ⋮ Non-existence and splitting theorems for normal integral bases ⋮ Realizable Galois module classes over the group ring for non abelian extensions ⋮ A simple proof of Noether's theorem ⋮ Units in real cyclic fields ⋮ Hopf-Galois module structure of tame biquadratic extensions ⋮ Explicit Brauer induction ⋮ On the ring of integers of a tame Kummer extension over a number field. ⋮ On the square root of the inverse different ⋮ On a Product Related to the Cubic Gauss Sum, III ⋮ Relative Galois module structure and Steinitz classes of dihedral extensions of degree 8 ⋮ Defect theory for maximal ideals and simple functors ⋮ Realizable classes of quaternion extensions of degree \(4\ell\) ⋮ Class invariants: functional properties and application to kernel studies ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Galois module structure as the obstruction to a local-global principle ⋮ On realizable Galois module classes by the inverse different ⋮ The Hermitian structure of rings of integers in odd degree abelian extensions ⋮ Galois-module theory for wildly ramified covers of curves over finite fields (with an appendix by Bernhard Köck and Adriano Marmora) ⋮ A conjecture of M. J. Taylor concerning determinantal congruences ⋮ Computing generators of free modules over orders in group algebras. ⋮ Normality of algebras over commutative rings and the Teichmüller class. III: Examples ⋮ Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes ⋮ On twisted zeta-functions at \(s=0\) and partial zeta-functions at \(s=1\) ⋮ On the Galois module structure over CM-fields ⋮ The Group Logarithm Past and Present ⋮ On realizable Galois module classes and Steinitz classes of nonabelian extensions ⋮ The Galois module structure of certain arithmetic principal homogeneous spaces ⋮ The root number class and Chinburg's second invariant ⋮ Galois module structure of unramified covers ⋮ \(\mathrm{K}_1\) of a \(p\)-adic group ring. II: The determinantal kernel \(\mathrm{SK}_1\) ⋮ Toward equivariant Iwasawa theory. II. ⋮ On the cohomology of Witt vectors of \(p\)-adic integers and a conjecture of Hesselholt ⋮ Galois module structure for dihedral extensions of degree 8: realizable classes over the group ring ⋮ Realizable classes of metacylic extensions of degree \(lm\) ⋮ On the Galois structure of the square root of the codifferent ⋮ Stickelberger ideals of conductor \(p\) and their application ⋮ Kummer theory and Galois module structure in global function fields ⋮ Résolvandes et espaces homogènes principaux de schémas en groupe ⋮ Toward equivariant Iwasawa theory. III ⋮ Tameness and Local Normal Bases for Objects of Finite Hopf Algebras ⋮ Cubic structures, equivariant Euler characteristics and lattices of modular forms ⋮ Unnamed Item ⋮ Hopf-Galois module structure of tamely ramified radical extensions of prime degree ⋮ The Galois structure of the square root of the inverse different ⋮ An equivariant version of an index formula of Fröhlich and McCulloh ⋮ Rings of integers and trace forms for tame extensions of odd degree ⋮ Stably free rings of integers over \(\mathbb{Z}[H_8\times C_2\)] ⋮ How far is an extension of \(p\)-adic fields from having a normal integral basis? ⋮ ``Galois module structure of quaternion extensions of degree 8 ⋮ On the self-duality of rings of integers in tame and abelian extensions ⋮ Nonabelian associated orders of wildly ramified extensions ⋮ Adams operations and fixed point theorems in \(K\)-theory of group algebras ⋮ Operations on ring structures preserved by normalized automorphisms of group rings ⋮ Normal integral bases and embedding problems ⋮ Sur la structure galoisienne relative de puissances de la différente et idéaux de stickelberger ⋮ Iwasawa theory of elliptic curves and Galois module structure ⋮ Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases) ⋮ Locally indecomposable Galois representations with full residual image ⋮ Self-dual normal integral bases for infinite unramified extensions. ⋮ -constants and equivariant Arakelov–Euler characteristics ⋮ Higher adeles and non-abelian Riemann-Roch ⋮ On unit signatures and narrow class groups of odd degree abelian number fields ⋮ Realizable classes of tetrahedral extensions
This page was built for publication:
