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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Reference request - spectral radius formula for linear transformations in char p

I don't know of a reference off hand, but I don't see any harm in just claiming that the assertion easily follows from the Jordan decomposition of $T$. After all, if you know that the limit on the le …
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4 votes

Conjugacy for p-adic matrices of finite order II

No. Let $R = \mathbb{Z}_p[C_p]$ and consider the $R$-modules $M = R$ and $N = \mathfrak{m}$, the maximal ideal of the local ring $R$. Let $A,B$ the matrices in $GL_p(\mathbb{Z}_p)$ giving the action o …
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