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On intersections of normal subgroups in free groups

Let N₁ (respectively N₂) be a normal closure of a set R₁ = {ui} (respectively R₂ = {vj}) of cyclically reduced words of the free group F(A). In the paper we consider geometric conditions on R₁ and R₂ for N₁ ∩ N₂ = [N₁, N₂]. In particular, it turns out that if a presentation < A | R₁, R₂ >...

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Bibliographic Details
Main Author: Kulikova, O.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2003
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154676
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