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arXiv · 1808.01289

Lie invariant Frobenius lifts on linear algebraic groups

Alexandru Buium
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Abstract

We show that if $G$ is a linear algebraic group over a number field and if $G$ is not a torus then for all but finitely many primes $p$ the $p$-adic completion of $G$ does not possess a Frobenius lift that is "Lie invariant mod $p$" (in the sense of \cite{alie1}). This is in contrast with the situation of elliptic curves studied in \cite{alie1}.

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Alexandru Buium. 2018-08-03. Lie invariant Frobenius lifts on linear algebraic groups. https://arxiv.org/abs/1808.01289

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