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arxiv: 1107.1332 · v1 · pith:YJTVLP5Mnew · submitted 2011-07-07 · 🧮 math.GR

Generalized presentations of infinite groups, in particular of Aut(F_(ω))

classification 🧮 math.GR
keywords generalizedgrouppresentationsgroupsomegaarbitraryautomorphismcountable
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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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