English

Generalized presentations of infinite groups, in particular of $Aut(F_{\omega})$

Group Theory 2011-07-08 v1

Abstract

We develop a theory of generalized presentations of groups. We give generalized presentations of the symmetric group Σ(X)\Sigma(X) for an arbitrary set XX and of the automorphism group of the free group of countable rank, Aut(Fω)Aut(F_{\omega}).

Keywords

Cite

@article{arxiv.1107.1332,
  title  = {Generalized presentations of infinite groups, in particular of $Aut(F_{\omega})$},
  author = {Oleg Bogopolski and Wilhelm Singhof},
  journal= {arXiv preprint arXiv:1107.1332},
  year   = {2011}
}

Comments

49 pages, 4 figures