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Comptes Rendus Mathematique
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Comptes Rendus. Mathématique
Article . 2022
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p-adic non-commutative analytic subgroup theorem

نظريةالمجموعة الفرعية التحليلية غير التبادلية
Authors: Duc Hiep Pham;

p-adic non-commutative analytic subgroup theorem

Abstract

In this paper, we formulate and prove the so-called p-adic non-commutative analytic subgroup theorem. This result is seen as the p-adic analogue of a recent theorem given by Yafaev in [11].

Keywords

transcendence theory, Transcendence (general theory), Commutative property, \(p\)-adic fields, group varieties, Algebraic Geometry and Moduli Theory, QA1-939, FOS: Mathematics, Number Theory (math.NT), Group varieties, Mathematical Physics, p-adic, Algebra over a field, Mathematics - Number Theory, analytic subgroup theorem, Pure mathematics, Discrete mathematics, \(p\)-adic theory, local fields, Analysis on \(p\)-adic Lie groups, Physical Sciences, Proofs of Langlands Conjectures for GL(n), Geometry and Topology, p-adic Models in Mathematical Physics, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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gold