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Pro-finite completion of p-adic Lie groups

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#group-theory #lie-groups #p-adic-number-theory #profinite-groups #pro-p-groups
396
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Why is the first $p$-adic congruence subgroup a pro-$p$ group?

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#abstract-algebra #p-adic-number-theory #p-groups #pro-p-groups #matrix-congruences
26
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Finiteness of $n$th Galois cohomology$H^n(U, \mathbb{F}_p)$ for open subgroups $U$ of a pro-$p$-group $G$

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#profinite-groups #galois-cohomology #pro-p-groups
40
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Exponent of a semi-direct product of nilpotent groups

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#group-theory #finite-groups #group-actions #p-groups #pro-p-groups
767
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Do there exist pro-$p$ groups with finite quotients of non $p$ power order?

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#abstract-algebra #group-theory #profinite-groups #pro-p-groups
57
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If the subgroup $H$ of $G$ is open in pro-$p$ topology, does it inherit the pro-$p$ topology?

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#group-theory #profinite-groups #pro-p-groups
891
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Why is the group of principal units of a local field uniquely divisible by $n$?

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#algebraic-number-theory #class-field-theory #pro-p-groups
84
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Extending isomorphisms in the semi-simple case.

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#group-theory #vector-spaces #representation-theory #modules #pro-p-groups
618
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Conditions for a topological group to be a Lie group.

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#reference-request #lie-groups #topological-groups #pro-p-groups
145
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A dense subgroup with completion not isomorphic to the big (pro-p) group?

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#group-theory #topological-groups #profinite-groups #pro-p-groups
5.6k
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Galois group over $p$-adic numbers

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#number-theory #galois-theory #p-adic-number-theory #pro-p-groups
916
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Link between representation theory and Galois theory: Trivial representation in field towers.

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#group-theory #field-theory #representation-theory #galois-theory #pro-p-groups
208
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Is there an analogue of outer Space to study outer automorphisms of free pro-$p$ groups?

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#reference-request #geometric-group-theory #p-groups #pro-p-groups #teichmueller-theory
244
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Infinite $p$-extension contains $\mathbb{Z}_p$-extension

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#field-theory #algebraic-number-theory #galois-theory #class-field-theory #pro-p-groups
434
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$p$-adic analytic group are closed subgroups of $GL_n(\mathbb{Z}_p)$ for some $n$

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#reference-request #manifolds #lie-groups #pro-p-groups

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