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15
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Definition of profinite group

Published on
#abstract-algebra #topological-groups #profinite-groups
162
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Is it true that every residually finite group is a profinite group under some topology?

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#group-theory #topological-groups #profinite-groups
33
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Closed ideals of ring of integral Adeles

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#ideals #abelian-groups #p-adic-number-theory #profinite-groups #adeles
29
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Normal closure of closed subgroup is closed in a f.g. profinite group?

Published on
#normal-subgroups #topological-groups #profinite-groups
110
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A profinite group is the inverse limit of all quotients by open normal subgroups

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#group-theory #topological-groups #profinite-groups
55
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Continuous homomorphisms from $\widehat{\mathbb Z}$ to $\overline{\mathbb F}_p^\times$

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#group-theory #representation-theory #profinite-groups
42
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Uniform open subgroups of $p$-adic Lie group

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#group-theory #number-theory #lie-groups #p-adic-number-theory #profinite-groups
47
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Maps from a finitely generated pro-p group to $\mathbb F_p$ factors through Frattini quotient

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#topological-groups #geometric-group-theory #profinite-groups
97
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A conjugacy class of an element in a profinite group is either finite or uncountably infinite?

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#group-theory #profinite-groups
83
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Finite covers of $X$ and continuous profinite group actions

Published on
#algebraic-geometry #algebraic-topology #topological-groups #fundamental-groups #profinite-groups
40
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Lifting homomorphism in profinite group

Published on
#group-theory #profinite-groups
61
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Finding open subgroups of profinite groups from description as an inverse limit

Published on
#topological-groups #profinite-groups
87
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Infinite kernels of profinite integers when considered as endomorphisms of $\mathbb{Q}/\mathbb{Z}$

Published on
#abstract-algebra #ring-theory #p-adic-number-theory #profinite-groups
31
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Induced module is abelian

Published on
#number-theory #modules #abelian-groups #normal-subgroups #profinite-groups
29
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Orbit of closed set under compact group action

Published on
#general-topology #compactness #group-actions #topological-groups #profinite-groups

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