Macbeath's curve and the modular group
نویسندگان
چکیده
منابع مشابه
Contemporary Mathematics Volume Introduction to MODULAR TOWERS Generalizing dihedral group modular curve connections
We join Hurwitz space constructions and the universal Frattini cover of a nite group The goal is to form and apply generalizations of the towers X p X p X p of modular curves This generalization relies on the appearance of the dihedral group Dp and its companion group Zp f g in the theory of modular curves We replace Dp by any nite group G and p by any prime dividing the order of G The replacem...
متن کاملOn the modular curve X0(23)
The Jacobian J0(23) of the modular curve X0(23) is a semi-stable abelian variety over Q with good reduction outside 23. It is simple. We prove that every simple semi-stable abelian variety over Q with good reduction outside 23 is isogenous over Q to J0(23). 2010 Mathematics Subject Classification. Primary 14L15; Secondary 11G18, 11R37.
متن کاملOn the Cuspidal Divisor Class Group of a Drinfeld Modular Curve
The theory of theta functions for arithmetic groups that act on the Drinfeld upper half-plane is extended to allow degenerate parameters. This is used to investigate the cuspidal divisor class groups of Drinfeld modular curves. These groups are nite for congruence subgroups and may be described through the corresponding quotients of the Bruhat-Tits tree by . The description given is fairly expl...
متن کاملDiscrete Heisenberg-Weyl Group and Modular Group
It is shown that the generators of two discrete Heisenberg-Weyl groups with irrational rotation numbers θ and −1/θ generate the whole algebra B of bounded operators on L2(R). The natural action of the modular group in B is implied. Applications to dynamical algebras appearing in lattice regularization and some duality principles are discussed. Writing a contribution to a memorial volume one alw...
متن کاملRational Tangles and the Modular Group
There is a natural way to define an isomorphism between the group of transformations of isotopy classes of rational tangles and the modular group. This isomorphism allows to give a simple proof of the Conway theorem, stating the one-to-one correspondence between isotopy classes of rational tangles and rational numbers. Two other simple ways to define this isomorphism, one of which suggested by ...
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: Glasgow Mathematical Journal
سال: 1985
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500006212