On intersections of normal subgroups in free groups

dc.contributor.author	Kulikova, O. V.
dc.date.accessioned	2015-10-19T07:36:54Z
dc.date.available	2015-10-19T07:36:54Z
dc.date.issued	2002-12-09
dc.identifier.uri	http://hdl.handle.net/123456789/48
dc.description	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	Луганский национальный университет им. Т. Шевченко	uk_UA
dc.title	On intersections of normal subgroups in free groups	uk_UA
dc.type	Article	uk_UA