Group extensions of p -adic and adelic linear groups

Identifieur interne : 003389 ( Main/Merge ); précédent : 003388; suivant : 003390

---

Group extensions of p -adic and adelic linear groups

Auteurs : Calvin C. Moore

Source :

• Publications Mathématiques de l'Institut des Hautes Études Scientifiques [ 0073-8301 ] ; 1968-12-01.

RBID : ISTEX:316769B9F5238A14E11BB69DCBE4721C9C8E04A3

English descriptors

• KwdEn :
  • Abelian, Abelian group, Abstract group, Abstract groups, Addle ring, Adelic, Algebraic, Amer, Archimedian, Bilinear, Bilinear function, Borel, Borel function, Borel subset, Bruhat decomposition, Calvin, Cardinality, Central extension, Central extensions, Central subgroup, Chevalley, Chevalley group, Circle group, Class field theory, Closure, Cocycle, Cocycle identity, Cocycles, Cohomology, Cohomology class, Cohomology groups, Commutator, Commutator subgroup, Compact field, Compact group, Compact groups, Complex numbers, Complex places, Congruence subgroup problem, Congruence subgroups, Continuous endomorphism, Continuous function, Continuous functions, Continuous homomorphism, Corollary, Coset, Coset representatives, Countable, Countable torsion group, Cyclic, Cyclic group, Dedekind domain, Dirichlet theorem, Discrete group, Double coset, Dual group, Equivalently, Exact sequence, Extension splits, Finite cyclic group, Finite field, Finite group, Finite index, Finite number, First part, First statement, First step, Free group, Function field, Fundamental group, Fundamental groups, Fundamental root, Galois group, Global class field theory, Global field, Group extension, Group extensions, Group scheme, Groupes, Hautes etudes scient, Homomorphism, Inflation homomorphism, Injective, Integer, Inverse image, Isomorphic, Isomorphism, Kernel, Lemma, Local case, Local field, Local fields, Long root, Long roots, Main result, Matrix, Mennicke symbol, Module, Modulo, Modulo squares, More detail, Multiplicative, Multiplicative group, Natural projection, Norm group, Norm residue symbol, Norm residue symbols, Number field, Obvious conventions, Open subgroup, Other hand, Other words, Pointwise convergence, Product formula, Profinite, Quotient, Quotient group, Reciprocity, Reciprocity formula, Relative group, Residue class field, Restriction homomorphism, Same argument, Special case, Special cases, Spectral sequence, Split cartan subgroup, Steinberg cocycle, Steinberg cocycles, Strong approximation, Subgroup, Suffices, Supernatural number, Surjective, Surjective homomorphism, Symmetric element, Symplectic groups, Theorem, Topological, Topological extension, Topological extensions, Topological group, Topological groups, Topological isomorphism, Topology, Torsion, Torsion group, Trivial class, Trivial module, Unique homomorphism, Universal property, Unramified, Unramified element, Vector space, Weyl group.
• Teeft :
  • Abelian, Abelian group, Abstract group, Abstract groups, Addle ring, Adelic, Algebraic, Amer, Archimedian, Bilinear, Bilinear function, Borel, Borel function, Borel subset, Bruhat decomposition, Calvin, Cardinality, Central extension, Central extensions, Central subgroup, Chevalley, Chevalley group, Circle group, Class field theory, Closure, Cocycle, Cocycle identity, Cocycles, Cohomology, Cohomology class, Cohomology groups, Commutator, Commutator subgroup, Compact field, Compact group, Compact groups, Complex numbers, Complex places, Congruence subgroup problem, Congruence subgroups, Continuous endomorphism, Continuous function, Continuous functions, Continuous homomorphism, Corollary, Coset, Coset representatives, Countable, Countable torsion group, Cyclic, Cyclic group, Dedekind domain, Dirichlet theorem, Discrete group, Double coset, Dual group, Equivalently, Exact sequence, Extension splits, Finite cyclic group, Finite field, Finite group, Finite index, Finite number, First part, First statement, First step, Free group, Function field, Fundamental group, Fundamental groups, Fundamental root, Galois group, Global class field theory, Global field, Group extension, Group extensions, Group scheme, Groupes, Hautes etudes scient, Homomorphism, Inflation homomorphism, Injective, Integer, Inverse image, Isomorphic, Isomorphism, Kernel, Lemma, Local case, Local field, Local fields, Long root, Long roots, Main result, Matrix, Mennicke symbol, Module, Modulo, Modulo squares, More detail, Multiplicative, Multiplicative group, Natural projection, Norm group, Norm residue symbol, Norm residue symbols, Number field, Obvious conventions, Open subgroup, Other hand, Other words, Pointwise convergence, Product formula, Profinite, Quotient, Quotient group, Reciprocity, Reciprocity formula, Relative group, Residue class field, Restriction homomorphism, Same argument, Special case, Special cases, Spectral sequence, Split cartan subgroup, Steinberg cocycle, Steinberg cocycles, Strong approximation, Subgroup, Suffices, Supernatural number, Surjective, Surjective homomorphism, Symmetric element, Symplectic groups, Theorem, Topological, Topological extension, Topological extensions, Topological group, Topological groups, Topological isomorphism, Topology, Torsion, Torsion group, Trivial class, Trivial module, Unique homomorphism, Universal property, Unramified, Unramified element, Vector space, Weyl group.

Url:

• https://api.istex.fr/document/316769B9F5238A14E11BB69DCBE4721C9C8E04A3/fulltext/pdf

DOI: 10.1007/BF02698923

---

Links toward previous steps (curation, corpus...)

• to stream Istex, to step Corpus: 000A42
• to stream Istex, to step Curation: 000A42
• to stream Istex, to step Checkpoint: 003113

---

Links to Exploration step

ISTEX:316769B9F5238A14E11BB69DCBE4721C9C8E04A3

---

Le document en format XML

---

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Merge

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 003389 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 003389 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Mathematiques
   |area=    BourbakiV1
   |flux=    Main
   |étape=   Merge
   |type=    RBID
   |clé=     ISTEX:316769B9F5238A14E11BB69DCBE4721C9C8E04A3
   |texte=   Group extensions of p -adic and adelic linear groups
}}

---

This area was generated with Dilib version V0.6.33. Data generation: Thu Jul 5 10:00:31 2018. Site generation: Sat Nov 19 17:42:07 2022