On intersections of normal subgroups in free groups

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/48

Title:	On intersections of normal subgroups in free groups
Authors:	Kulikova, O. V.
Issue Date:	9-Dec-2002
Publisher:	Луганский национальный университет им. Т. Шевченко
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.
URI:	http://hdl.handle.net/123456789/48
Appears in Collections:	Статті

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