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- W2022732644 abstract "We discuss classes of topological groups which can be approximated by p-adic Lie groups, and varieties of Hausdorff groups generated by classes of hboxp-adic Lie groups (for a single or multiple p). We give several characterizations of locally compact pro-p-adic Lie groups and locally compact pro-discrete groups, and prove a “pro-version” of Cartan's Theorem: whenever a locally compact group is a pro-p-adic Lie group and a pro-q-adic Lie group for distinct primes p and q, it is pro-discrete. If a locally compact group can be approximated by p-adic Lie groups for variable primes p, then it is a pro-p-adic Lie group for some prime p." @default.
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- W2022732644 date "2002-05-01" @default.
- W2022732644 modified "2023-10-03" @default.
- W2022732644 title "Approximation by p-adic Lie Groups" @default.
- W2022732644 doi "https://doi.org/10.1017/s0017089502020049" @default.
- W2022732644 hasPublicationYear "2002" @default.
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