On intersections of normal subgroups in free groups

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2003
• 1. Verfasser: Kulikova, O.V.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2003
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/154676
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On intersections of normal subgroups in free groups / O.V. Kulikova // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 36–67. — Бібліогр.: 4 назв. — англ.

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 >...