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

preprint2011arXivOpen access

We develop a theory of generalized presentations of groups. We give generalized presentations of the symmetric group $Σ(X)$ for an arbitrary set $X$ and of the automorphism group of the free group of countable rank, $Aut(F_ω)$ .

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

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

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