Automorphisms of relatively free nilpotent groups of infinite rank
نویسندگان
چکیده
منابع مشابه
A Note on Automorphisms of Free Nilpotent Groups
We exhibit normal subgroups of a free nilpotent group F of rank two and class three, which have isomorphic finite quotients but are not conjugate under any automorphism of F . A remarkable fact about free profinite groups of finite rank is that any isomorphism between finite quotients of such a group F lifts to an automorphism of F . This is true, more generally, if F a free pro-Cgroup of finit...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1989
ISSN: 0021-8693
DOI: 10.1016/0021-8693(89)90074-4