The Hanna Neumann Conjecture is true when one subgroup has a positive generating set
| dc.creator | Khan, Bilal | |
| dc.date | 2000-09-15 | |
| dc.date.accessioned | 2026-07-07T04:37:25Z | |
| dc.date.available | 2026-07-07T04:37:25Z | |
| dc.description | The Hanna Neumann conjecture states that if F is a free group, then for all finitely generated subgroups H,K <= F, rank(H intersect K) - 1 <= [ rank(H)-1 ] [ rank(K)-1 ] In this paper, we show that if one of the subgroups, say H, has a generating set consisting of only positive words, then H is not part of any counterexample to the conjecture. We further show that if H <= F({a,b}) is part of a counterexample to the conjecture, then its folding Gamma_H must contain source and/or sink vertices. | |
| dc.description | 14 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0009152 | |
| dc.identifier | http://arxiv.org/abs/math/0009152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59943 | |
| dc.subject | Group Theory | |
| dc.subject | 20E05 (Primary), 05C25 (Secondary) | |
| dc.title | The Hanna Neumann Conjecture is true when one subgroup has a positive generating set | |
| dc.type | text |