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Collection : Universite De Bourgogne (Ub) Language : abkhazian Language : aragonese Language : dutch Language : english Language : hindi Language : marshallese Language : swedish Subject : class field theory

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New characterization of the norm of the fundamental unit of Q(M^1/2).

Authors : Gras, Georges;

Subjects: Real quadratic fields; Fundamental unit; Norm of units

Source: https://hal.science/hal-04108717 ; 2023.

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Algebraic norm and capitulation of p-class groups in ramified cyclic p-extensions

Authors : Gras, Georges;

Subjects: Capitulation of $p$-class groups; cyclotomic extensions of prime conductor; class field theory

Source: https://hal.science/hal-03865383 ; 2023.

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Application of the notion of $\varphi$-object to the study of $p$-class groups and $p$-ramified torsion groups of abelian extensions

Authors : Gras, Georges;

Subjects: cyclotomic polynomials; p-adic regulators; class field theory08-04

Source: https://hal.science/hal-03466431 ; 2022.

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The Chevalley--Herbrand formula and the real abelian Main Conjecture ; The Chevalley--Herbrand formula and the real abelian Main Conjecture: New criterion using capitulation of the class group

Authors : Gras, Georges;

Subjects: Chevalley--Herbrand formula; analytic formulas; class field theory

Source: https://hal.science/hal-03739451 ; 2022.

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On the λ-stability of p-class groups along cyclic p-towers of a number field

Authors : Gras, Georges;

Subjects: class field theory; Chevalley's formula; cyclic pextensions

Source: https://hal.science/hal-03155190 ; 2021.

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Algorithmic complexity of Greenberg's conjecture

Authors : Gras, Georges;

Subjects: Greenberg's conjecture; Iwasawa's theory; p-class groups

Source: https://hal.science/hal-02541269 ; 2020.

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Tate–Shafarevich groups in the cyclotomic Z^-extension and Weber’s class number problem

Authors : Gras, Georges;

Subjects: p-class groups; cyclotomic Z_ℓ-extensions; class field theory

Source: https://hal.science/hal-02935539 ; 2021.

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The p-rank ε-conjecture on class groups is true for towers of p-extensions

Authors : Gras, Georges;

Subjects: p-class groups; epsilon-conjectures; class field theory

Source: https://hal.science/hal-02444876 ; 2020.

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Academic Journal

Invariant generalized ideal classes – structure theorems for p-class groups in p-extensions

Authors : Gras, Georges;

Subjects: October 14; 2016. 2020 Mathematics Subject Classification. Primary 11R29; 11R37 number fields

Source: ISSN: 0253-4142 ; Proceedings Mathematical Sciences ; https://hal.science/hal-03317756 ; Proceedings Mathematical Sciences, 2017, Proceedings - Mathematical Sciences, 127 (1), pp.1-34.

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Academic Journal

Annihilation of tor_p(G_S^ab) for real abelian extensions K/Q

Authors : Gras, Georges;

Subjects: class field theory; abelian p-ramification; annihilation of p-torsion modules

Source: Communications in Advanced Mathematical Sciences ; https://hal.science/hal-01807711 ; Communications in Advanced Mathematical Sciences, 2018, Communications in Advanced Mathematical Sciences, 1 (1),

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