Subgroups defining automorphisms in locally nilpotent groups

Giovanni Cutolo; Chiara Nicotera

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Subgroups defining automorphisms in locally nilpotent groups

Giovanni Cutolo·Chiara Nicotera

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Abstract

We investigate some situation in which automorphisms of a group G 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.

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BibTeX RIS

Giovanni Cutolo, Chiara Nicotera. 2001-09-21. Subgroups defining automorphisms in locally nilpotent groups. https://arxiv.org/abs/math/0109160

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