Subgroups defining automorphisms in locally nilpotent groups
نویسندگان
چکیده
We investigate some situation in which automorphisms of a groupG are uniquely determined by their restrictions to a proper subgroup H . Much of the paper is devoted to studying under which additional hypotheses this property forces G to be nilpotent if H is. As an application we prove that certain countably infinite locally nilpotent groups have uncountably many (outer) automorphisms.
منابع مشابه
Generators and defining relations for ring of invariants of commuting locally nilpotent derivations or automorphisms
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