Intersections of conjugates of Magnus subgroups of one-relator groups
| dc.creator | Collins, Donald J | |
| dc.date | 2009-04-08 | |
| dc.date | 2009-04-21 | |
| dc.date.accessioned | 2026-07-07T13:06:18Z | |
| dc.date.available | 2026-07-07T13:06:18Z | |
| dc.description | In the theory of one-relator groups, Magnus subgroups, which are free subgroups obtained by omitting a generator that occurs in the given relator, play an essential structural role. In a previous article, the author proved that if two distinct Magnus subgroups M and N of a one-relator group, with free bases S and T are given, then the intersection of M and N is either the free subgroup P generated by the intersection of S and T or the free product of P with an infinite cyclic group. The main result of this article is that if M and N are Magnus subgroups (not necessarily distinct) of a one-relator group G and g and h are elements of G, then either the intersection of gMg^{-1} and hNh^{-1} is cyclic (and possibly trivial), or gh^{-1} is an element of NM in which case the intersection is a conjugate of the intersection of M and N. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 29 April 2008. V2: typographical corrections | |
| dc.identifier | https://arxiv.org/abs/0904.1358 | |
| dc.identifier | http://arxiv.org/abs/0904.1358 | |
| dc.identifier | Geom. Topol. Monogr. 14 (2008) 135-171 | |
| dc.identifier | doi:10.2140/gtm.2008.14.135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227739 | |
| dc.subject | Group Theory | |
| dc.subject | 20F05 | |
| dc.title | Intersections of conjugates of Magnus subgroups of one-relator groups | |
| dc.type | text |