English

The centralizers in the root group of a special Moufang set are abelian

Group Theory 2010-11-09 v2

Abstract

In this note we prove that if M(U,τ)\mathbb{M}(U,\tau) is a special Moufang set and aUa\in U^*, then C_U(a) is abelian.

Keywords

Cite

@article{arxiv.1009.2572,
  title  = {The centralizers in the root group of a special Moufang set are abelian},
  author = {Yoav Segev},
  journal= {arXiv preprint arXiv:1009.2572},
  year   = {2010}
}

Comments

This paper has been withdrawn by the author due to crucial sign error on page 3, line 11