منابع مشابه
Subgroups defining automorphisms in locally nilpotent groups
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.
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2003
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089502008923