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- W2045549069 abstract "Let $F$ and $phi$ respectively be the free group and the free metabelian group of rank $q$. Let ${phi _n}$ be the $n$th group of the lower central series of $phi$. We show that, for $q > 3$ and for any positive integer $n$, every automorphism of $phi /{phi _n}$, which is induced by an automorphism of $phi$, is induced by an automorphism of $F$. This reopens the question of whether every automorphism of $phi$ is induced by an automorphism of $F$ if $q > 3$." @default.
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- W2045549069 date "1972-01-01" @default.
- W2045549069 modified "2023-09-26" @default.
- W2045549069 title "Induced automorphisms of free metabelian groups" @default.
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- W2045549069 doi "https://doi.org/10.1090/s0002-9939-1972-0297846-2" @default.
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