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- W2949302610 abstract "Certain subgroups of the groups $Aut(F_n)$ of automorphisms of a free group $F_n$ are considered. Comparing Alexander polynomials of two poly-free groups $Cb_4^+$ and $P_4$ we prove that these groups are not isomorphic, despite the fact that they have a lot of common properties. This answers the question of Cohen-Pakianathan-Vershinin-Wu from cite{CVW}. The questions of linearity of subgroups of $Aut(F_n)$ are considered. As an application of the properties of poison groups in the sense of Formanek and Procesi, we show that the groups of the type $Aut(G*mathbb Z)$ for certain groups $G$ and the subgroup of $IA$-automorphisms $IA(F_n)subset Aut(F_n)$ are not linear for $ngeq 3$. This generalizes the recent result of Pettet that $IA(F_n)$ are not linear for $ngeq 5$." @default.
- W2949302610 created "2019-06-27" @default.
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- W2949302610 date "2007-01-16" @default.
- W2949302610 modified "2023-09-27" @default.
- W2949302610 title "On certain questions of the free group automorphisms theory" @default.
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