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• W2153676158 abstract "Let F_n = <x_1,...,x_n> denote the free group with generators {x_1,...,x_n}. Nielsen and Magnus described generators for the kernel of the canonical epimorphism from the automorphism group of F_n to the general linear group over the integers. In particular among them are the automorphisms chi_{k,i} which conjugate the generator x_k by the generator x_i leaving the x_j fixed for j not k. A computation of the cohomology ring as well as the Lie algebra obtained from the descending central series of the group generated by chi_{k,i} for i<k is given here. Partial results are obtained for the group generated by all chi_{k,i}." @default.
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• W2153676158 date "2008-02-22" @default.
• W2153676158 modified "2023-09-25" @default.
• W2153676158 title "Basis-conjugating automorphisms of a free group and associated Lie algebras" @default.
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• W2153676158 doi "https://doi.org/10.2140/gtm.2008.13.147" @default.
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