Rank and deficiency gradients of generalized Thompson groups of type F
- Autores: Dessislava H. Kochloukova
- Localización: Bulletin of the London Mathematical Society, ISSN 0024-6093, Vol. 46, Nº 5, 2014, págs. 1050-1062
- Idioma: inglés
- DOI: 10.1112/blms/bdu058
- Enlaces
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Resumen
For an arbitrary sequence (G s ) of subgroups of finite index in the generalized Thompson group F n,8 , it is shown that the supremum of the minimal number of generators of G s is finite and the supremum of the absolute value of the deficiency of G s is finite. In particular, the deficiency gradient of F n,8 with respect to (G s ) is 0 provided [G:G s ] tends to infinity. A higher dimensional analogue is considered for n=2
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