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On Certain Pairs of Matrices which Generate Free Groups

✍ Scribed by Wamsley, J. W.

Book ID
120094462
Publisher
Oxford University Press
Year
1973
Tongue
English
Weight
32 KB
Volume
5
Category
Article
ISSN
0024-6093

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On Certain Elements of Free Groups
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Let F be a free group of finite rank m. It is proven that for every n G 2 there m Ε½ . Ε½ . Ε½ . is a non-trivial word w x , . . . , x such that if values w U , w V of n 1 n n n n n Ε½ . 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-tuple