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arxiv: math/0011272 · v1 · submitted 2000-11-27 · 🧮 math.NT

The density of ramified primes in semisimple p-adic Galois representations

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keywords ramifiedrepresentationsdensitygaloisp-adicprimessemisimpleexamples
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We prove that the density of ramified primes in semisimple p-adic representations of Galois groups of number fields is 0. Ravi Ramakrishna has produced examples of such representations that are infinitely ramified.

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