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All two-generator Fuchsian groups

✍ Scribed by Norman Purzitsky


Publisher
Springer-Verlag
Year
1976
Tongue
French
Weight
311 KB
Volume
147
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES


Alternating Quotients of Fuchsian Groups
✍ Brent Everitt πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 235 KB

It is shown that any finitely generated, non-elementary Fuchsian group has among its homomorphic images all but finitely many of the alternating groups A n . This settles in the affirmative a long-standing conjecture of Graham Higman.

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Let A be a quaternion algebra over an algebraic number field F of degree n over the set of traces of the elements in O 1 and T O (r)=[t # T O : 0 t 2r]. The first purpose of this paper is to show that lim r Γ„ |T O (r)| r = 2 2n&1 -D F p | d(O) m p (O), where D F is the discriminant of F, d(O) is th

Concentration points for Fuchsian groups
✍ Sungbok Hong; Darryl McCullough πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 224 KB

A limit point p of a discrete group of MΓΆbius transformations acting on S n is called a concentration point if for any sufficiently small connected open neighborhood U of p, the set of translates of U contains a local basis for the topology of S n at p. For the case of Fuchsian groups (n = 1), every