Identity theorem for pro-$p$-groups
Group Theory
2019-07-05 v5 Algebraic Geometry
Algebraic Topology
Abstract
We prove the Identity Theorem for pro--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.
Keywords
Cite
@article{arxiv.1703.02996,
title = {Identity theorem for pro-$p$-groups},
author = {Andrey Mikhovich},
journal= {arXiv preprint arXiv:1703.02996},
year = {2019}
}
Comments
Comparing to previous versions several changes are made (now in English), proofs are expanded and corrected. Comments are welcome!