|
|||||
|
|
|
|
|
|
|
|
|
Intersections and joins
of free groups
Richard Peabody Kent IV |
|
Algebraic & Geometric Topology 9 (2009) 305–325
|
Abstract |
|
Let and be subgroups of a free group of ranks and , respectively. We prove the following strong form of Burns’ inequality: A corollary of this, also obtained by L Louder and D B McReynolds, has been used by M Culler and P Shalen to obtain information regarding the volumes of hyperbolic –manifolds. We also prove the following particular case of the Hanna Neumann Conjecture, which has also been obtained by Louder. If has rank at least , then has rank no more than . |
Keywords
free group, rank, intersection, join, Hanna Neumann
Conjecture
|
Mathematical Subject Classification 2000
Primary: 20E05
Secondary: 57M50
|
References |
Publication
Received: 31 January 2008
Revised: 18 August 2008
Accepted: 28 January 2009
Published: 23 February 2009
|
Authors |
| Richard Peabody Kent IV | |
| Department of Mathematics Brown University Providence, RI 02912 |
|
|
