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Topology of the automorphic quotient

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#product-space #adeles
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Do we have $G(\mathbb A_S) G(k) = G(\mathbb A)$ for sufficiently large $S$?

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#number-theory #representation-theory #algebraic-groups #reductive-groups #adeles
152
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Basic properties of the adelic matrix norm

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#number-theory #algebraic-groups #reductive-groups #adeles
82
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An exact sequence related to adeles

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#number-theory #algebraic-number-theory #topological-groups #adeles
143
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How can I prove the following isomorphism?

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#topological-groups #group-isomorphism #limits-colimits #adeles
171
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Why is adelic approximation a generalisation of Chinese remainder theorem?

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#number-theory #algebraic-number-theory #chinese-remainder-theorem #adeles
123
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Topology on an Ext group

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#homological-algebra #adeles
338
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Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$

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#number-theory #galois-theory #topological-groups #class-field-theory #adeles
152
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Strong Approximation for adelic quaternionic groups

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#p-adic-number-theory #quaternions #automorphic-forms #adeles
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$\Bbb{R}/n\Bbb{Z}$ is isomorphic to $A_\Bbb{Q}/(\Bbb{Q}+C_n)$.

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#abstract-algebra #number-theory #commutative-algebra #algebraic-number-theory #adeles
90
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$R_S (=K \cap A_{K,S})$ is a Dedekind domain

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#abstract-algebra #number-theory #commutative-algebra #algebraic-number-theory #adeles
158
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Topology on ideles

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#abstract-algebra #number-theory #algebraic-number-theory #adeles
564
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Connected component of the Idele group

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#number-theory #algebraic-number-theory #valuation-theory #class-field-theory #adeles
135
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Is the group $I_K/K^{\ast}$ compact?

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#number-theory #algebraic-number-theory #valuation-theory #class-field-theory #adeles
101
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A counter example

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#general-topology #topological-groups #adeles

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