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- W2594502009 abstract "Let F be an infinitely generated free group and let R be a fully invariant subgroup of F such that (a) R is contained in the commutator subgroup F ′ of F and (b) the quotient group F / R is residually torsion-free nilpotent. Then the automorphism group Aut ( F / R ′ ) of the group F / R ′ is complete. In particular, the automorphism group of any infinitely generated free solvable group of derived length at least two is complete. This extends a result by Dyer and Formanek (1977) [7] on finitely generated groups F n / R ′ where F n is a free group of finite rank n at least two and R a characteristic subgroup of F n ." @default.
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- W2594502009 date "2011-09-01" @default.
- W2594502009 modified "2023-09-29" @default.
- W2594502009 title "Small conjugacy classes in the automorphism groups of relatively free groups" @default.
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- W2594502009 doi "https://doi.org/10.1016/j.jpaa.2010.11.017" @default.
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