Subgroups defining automorphisms in locally nilpotent groups

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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.
14 pages - no figures - to appear on Forum Mathematicum --- plain TeX requires eplain + additional macros files

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Group Theory, 20F28, 20F19

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http://salesiana.dossiersoluciones.com/handle/123456789/62241

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0109160
 http://arxiv.org/abs/math/0109160

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arXiv