Primitivity preserving endomorphisms of free groups
classification
🧮 math.GR
keywords
freepreservingprimitivityendomorphismeverygroupprimitiveanother
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An endomorphism of a free group is called primitivity preserving if it takes every primitive element to another primitive. In this paper we prove that every primitivity preserving endomorphism of a free group of a finite rank n > 2 is an automorphism.
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