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On Certain Elements of Free Groups

โœ Scribed by S.V Ivanov

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
179 KB
Volume
204
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let F be a free group of finite rank m. It is proven that for every n G 2 there m ลฝ . ลฝ . ลฝ . is a non-trivial word w x , . . . , x such that if values w U , w V of n 1 n n n n n ลฝ . w x , . . . , x on two n-tuples U and V of elements of F are conjugate and n 1 n n n m non-trivial then these n-tuples themselves are conjugate. As a corollary, one has the existence of two elements in F whose images uniquely determine any m monomorphism : F ยช F . แฎŠ 1998 Academic Press m m

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