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http://arxiv.org/pdf/1703.0299...
Part of book or chapter of book
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arXiv.org e-Print Archive
Preprint . 2017
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Article . 2017
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Identity Theorem for Pro-p-groups

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jan 2019Embargo end date: 01 Jan 2017 English Publisher:Springer International Publishing
Authors: Mikhovich, Andrey;

doi: 10.1007/978-3-030-16031-9_18 , 10.48550/arxiv.1703.02996

arXiv: 1703.02996

Identity Theorem for Pro-p-groups

Abstract

We prove the Identity Theorem for pro-$p$-groups with a single defining relation giving a positive feedback to a question of Serre on the structure of relation modules. A construction of "conjurings" indicates finality of our result in a certain sense.

Comparing to previous versions several changes are made (now in English), proofs are expanded and corrected. Comments are welcome!

Related Organizations
Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Group Theory (math.GR), Mathematics - Group Theory, Algebraic Geometry (math.AG)

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    influence
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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!
2
Average
Average
Average
Green