On the asphericity of LOT-presentations of groups

S. V. Ivanov

On the asphericity of LOT-presentations of groups

Group Theory 2007-05-23 v1 Geometric Topology

Authors: S. V. Ivanov

Abstract

Let $U$ be an arbitrary word in letters $x_1^{\pm 1}, ..., x_m^{\pm 1}$ and $m \ge 2$ . We prove that the group presentation $<x_1, ..., x_m \|\ U x_i U^{-1} = x_{i+1}, i=1,..., m-1>$ is aspherical. The proof is based upon prior partial results of A. Klyachko and the author on the asphericity of such presentations.

Keywords

group presentation asphericity lot-presentation word klyachko

Cite

@article{arxiv.math/0210193,
  title  = {On the asphericity of LOT-presentations of groups},
  author = {S. V. Ivanov},
  journal= {arXiv preprint arXiv:math/0210193},
  year   = {2007}
}

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3 pages

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