ON GEHRING–MARTIN–TAN GROUPS WITH AN ELLIPTIC GENERATOR
نویسندگان
چکیده
منابع مشابه
Kleinian orbifolds uniformized by RP groups with an elliptic and a hyperbolic generator
This work is a part of a program to describe all 2–generator Kleinian groups with real parameters. We study RP groups, that is, marked 2–generator subgroups Γ = 〈f , g〉 of PSL(2,C) for which the generating pair (f , g) has real parameters β = β(f ) = tr 2f − 4, β′ = β(g) = tr 2g−4 and γ = γ(f , g) = tr [f , g]−2 (see Section 1 for exact definitions). Since discreteness questions were answered f...
متن کاملDiscrete RP groups with a parabolic generator
We deal with two-generator subgroups of PSL(2, C) with real traces of both generators and their commutator. We give discreteness criteria for these groups when at least one of the generators is parabolic. We also present a list of the corresponding orbifolds. Mathematics Subject Classification (2000): Primary: 30F40; Secondary: 20H10, 22E40, 57M60, 57S30.
متن کاملSmall Exponent Point Groups on Elliptic Curves
Let E be an elliptic curve defined over Fq, the finite field of q elements. We show that for some constant η > 0 depending only on q, there are infinitely many positive integers n such that the exponent of E(Fqn), the group of Fqn-rational points on E, is at most q exp ( −n log logn ) . This is an analogue of a result of R. Schoof on the exponent of the group E(Fp) of Fp-rational points, when a...
متن کاملOn the diffeomorphism groups of elliptic surfaces
In this paper we determine for relatively minimal elliptic surfaces with positive Euler number the image of the natural representation of the group of orientation preserving self-diffeomorphisms on H , the second homology group reduced modulo torsion. To this end we construct as many embedded spheres of square 2 such that an isometry not induced from any combination of reflections at such spher...
متن کاملElliptic quantum groups
This note gives an account of a construction of an “elliptic quantum group” associated with each simple classical Lie algebra. It is closely related to elliptic face models of statistical mechanics, and, in its semiclassical limit, to the Wess-Zumino-Witten model of conformal field theory on tori. More details are presented in [Fe] and complete proofs will appear in a separate publication. Quan...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2016
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972716000228