On intersections of normal subgroups in free groups

dc.contributor.author	Kulikova, O.V.
dc.date.accessioned	2019-06-15T17:41:20Z
dc.date.available	2019-06-15T17:41:20Z
dc.date.issued	2003
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 20F05, 20F06.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154676
dc.description.abstract	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 > is aspherical (for example, it satisfies small cancellation conditions C(p)&T(q) with 1/p + 1/q = 1/2), then the equality N₁ ∩ N₂ = [N₁, N₂] holds.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On intersections of normal subgroups in free groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA