Quasirationality and prounipotent crossed modules
Group Theory
2020-03-17 v5 Algebraic Geometry
Algebraic Topology
Abstract
Quasirational presentations (-presentations) of (pro-)groups are studied. Such presentations include, in particular, aspherical presentations of discrete groups and their subpresentations and pro--groups with a single defining relation. Using schematization of -presentations we answer a variation of J.-P. Serre's question on one-relator pro--groups.
Cite
@article{arxiv.1701.04793,
title = {Quasirationality and prounipotent crossed modules},
author = {Andrey Mikhovich},
journal= {arXiv preprint arXiv:1701.04793},
year = {2020}
}
Comments
Text structure has been reorganized. Material on Melnikov's conjecture was singled out into a different article. Now in English, still a preliminary version any comments are wellcome