Generalized presentations of infinite groups, in particular of $Aut(F_ω)$

Details Generalized presentations of infinite groups, in particular of $Aut(F_ω)$ Generalized presentations of infinite groups, in particular of $Aut(F_ω)$

2011-07-07

arxiv.org/abs/1107.1332v1

Mathematics

Group Theory

49 pages, 4 figures

Scientific paper

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,
$Aut(F_{\omega})$.

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