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p-adic numbers --- Galois theory --- p-adic groups --- Nombres p-adiques --- Galois, Théorie de --- Groupes p-adiques --- Nombres p-adiques. --- Galois, Théorie de. --- Groupes p-adiques.
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Lie groups --- p-adic groups --- Lie, Groupes de. --- Groupes p-adiques.
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Galois theory. --- Unitary groups. --- p-adic groups. --- Representations of groups. --- Automorphic forms. --- Galois, Théorie de. --- Groupes unitaires. --- Groupes p-adiques. --- Représentations de groupes. --- Formes automorphes.
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Nilpotent groups --- p-adic groups --- p-adic groups. --- Groupes nilpotents --- Groupes p-adiques --- 512.54 --- Groups, p-adic --- Group theory --- Groups, Nilpotent --- Finite groups --- 512.54 Groups. Group theory --- Groups. Group theory --- Nilpotent groups.
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Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author proves a multiplicity formula of the Ginzburg-Rallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case.
Trace formulas. --- Geometry, Algebraic. --- Harmonic analysis. --- p-adic groups. --- Analyse harmonique (mathématiques) --- Groupes p-adiques. --- Lie groups. --- Lie, Groupes de. --- Formules de trace. --- Trace formulas --- Geometry, Algebraic --- Algebraic geometry --- Geometry --- Formulas, Trace --- Automorphic forms --- Discontinuous groups --- Representations of groups
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p-adic analysis. --- p-adic groups. --- Representations of groups. --- Geometry, Analytic. --- Analyse p-adique --- Groupes p-adiques --- Représentations de groupes --- Géométrie analytique --- Analytical geometry --- Geometry, Algebraic --- Algebra --- Conic sections --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Groups, p-adic --- Analysis, p-adic --- Calculus --- Graphic methods --- Analyse p-adique. --- Représentation de groupes --- Représentations de groupes --- Géométrie analytique --- Groupes p-adiques. --- Représentations de groupes. --- Géométrie analytique. --- p-adic analysis --- p-adic groups --- Representations of groups --- Geometry, Analytic
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Group theory --- p-adic fields. --- Groupes p-adiques. --- Symplectic groups. --- Groupes symplectiques. --- Representations of groups. --- Représentations de groupes. --- p-adic fields --- Representations of groups --- Symplectic groups --- Groups, Symplectic --- Linear algebraic groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Algebraic fields --- p-adic numbers
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The normal subgroup structure of maximal pro-p-subgroups of rational points of algebraic groups over the p-adics and their characteristic p analogues are investigated. These groups have finite width, i.e. the indices of the sucessive terms of the lower central series are bounded since they become periodic. The richness of the lattice of normal subgroups is studied by the notion of obliquity. All just infinite maximal groups with Lie algebras up to dimension 14 and most Chevalley groups and classical groups in characteristic 0 and p are covered. The methods use computers in small cases and are purely theoretical for the infinite series using root systems or orders with involutions.
Group theory --- Linear algebraic groups. --- Profinite groups. --- p-adic groups. --- Linear algebraic groups --- Profinite groups --- p-adic groups --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Groupes algébraïques linéaires --- Groupes p-adiques --- Groupes profinis --- Groups [p-adic ] --- Lineaire algebraïsche groepen --- Group theory. --- Group Theory and Generalizations. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra
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Group theory --- Functional analysis --- Symplectic groups. --- Groupes symplectiques. --- p-adic fields. --- Groupes p-adiques. --- Representations of groups. --- Représentations de groupes. --- p-adic fields --- Representations of groups --- Symplectic groups --- Groups, Symplectic --- Linear algebraic groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Algebraic fields --- p-adic numbers
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Singularities (Mathematics) --- p-adic fields --- p-adic groups. --- Functions, Zeta. --- Monodromy groups --- Geometry, Algebraic. --- Singularités (Mathématiques) --- Corps p-adiques --- Groupes p-adiques --- Fonctions zêta --- Groupes de monodromie --- Géométrie algébrique --- p-adic groups --- Functions, Zeta --- Geometry, Algebraic --- Singularités (Mathématiques) --- Fonctions zêta --- Géométrie algébrique
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