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15
109
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Every Field Extension is Composite of its finite subextensions

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#abstract-algebra #field-theory #galois-theory #algebraic-number-theory #profinite-groups
115
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Deriving functors on subcategories and profinite group cohomology

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#homological-algebra #derived-functors #profinite-groups #galois-cohomology
72
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Given a smooth representation $(\pi,V)$ of a group $G$, what is the natural smooth representation of $G$ on $V/U$, where $U$ is $G$-stable.

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#linear-algebra #representation-theory #profinite-groups
91
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Lemma 8.1 of "The Local Langlands Conjecture for GL(2)"

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#proof-explanation #representation-theory #local-field #profinite-groups #haar-measure
190
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Restriction-Induction Lemma for representations of standard split maximal torus of $GL_2(F)$

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#representation-theory #locally-compact-groups #profinite-groups
84
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Profinite Cohomology of $\hat{\mathbb{Z}}$: Abstract proof using $\delta$-functors

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#homology-cohomology #group-cohomology #derived-functors #profinite-groups
116
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Krull topology is discrete if only if the exntension is finite

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#galois-theory #topological-groups #profinite-groups
51
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Groups with "same" finite-index normal subgroups

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#group-theory #normal-subgroups #topological-groups #profinite-groups
132
Views

$G$-composition length of representation

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#representation-theory #p-adic-number-theory #profinite-groups #reductive-groups
80
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Morphism of inverse systems

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#abstract-algebra #group-theory #profinite-groups
60
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$SL_n(\mathbb{Z}_p)$ as inverse limit

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#group-theory #profinite-groups
191
Views

Closed subgroups of profinite groups and basis of neighbourhoods

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#abstract-algebra #general-topology #topological-groups #profinite-groups #neighbourhood
90
Views

Proving that the first Galois cohomology group is direct limit of finite quotients

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#number-theory #galois-theory #elliptic-curves #profinite-groups #galois-cohomology
75
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Showing torsion abelian groups have a unique $\widehat{\mathbb{Z}}$-module structure.

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#modules #profinite-groups #torsion-groups
21
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Extend an action of indeterminates to an action of field of rational functions

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#galois-theory #group-actions #profinite-groups

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