Generalized presentations of infinite groups, in particular of   $Aut(F_{\omega})$
  We develop a theory of generalized presentations of groups. We give generalized presentations of the symmetric group $\Sigma(X)$ for an arbitrary set $X$ and of the automorphism group of the free group of countable rank, $Aut(F_{\omega})$. 
Oleg Bogopolski, Wilhelm Singhof
math.GR