Largeness of LERF and 1-relator groups
| Autor: | Button, Jack |
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| Rok vydání: | 2008 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider largeness of groups given by a presentation of deficiency 1, where the group is respectively free-by-cyclic, LERF or 1-relator. We give the first examples of (finitely generated free)-by-(infinite cyclic) word hyperbolic groups which are large, show that a LERF deficiency 1 group with first Betti number at least 2 is large or the integers times the integers, and show that 2-generator 1-relator groups where the relator has height 1 obey the dichotomy that either the group is large or all its finite images are metacyclic. Comment: 33 pages; contains a problem list on pages 22 to 28 |
| Databáze: | arXiv |
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