A remark on some fuchsian groups
نویسندگان
چکیده
منابع مشابه
A Remark on Critical Groups
Problem 24 of Hanna Neumann's book [3] reads: Does there exist, for a given integer n > 0, a Cross variety that is generated by its ^-generator groups and contains (&+w)-generator critical groups? In such a variety, is every critical group that needs more than k generators a factor of a kgenerator critical group, or at least of the free group of rank A? I n a recent paper [1], R. G. Burns point...
متن کاملA remark on Remainders of homogeneous spaces in some compactifications
We prove that a remainder $Y$ of a non-locally compact rectifiable space $X$ is locally a $p$-space if and only if either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact, which improves two results by Arhangel'skii. We also show that if a non-locally compact rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal, then...
متن کاملFuchsian Groups: Intro
In various ways, mathematicians associate extra structure with sets and then investigate these objects. For example, by adding a binary operation to a set and validating that the set with the binary operation fulfills certain axioms, we arrive at a group. Similarly, given a set, one can specify a collection of subsets fulfilling some criteria that gives a topology, a sense of which points are c...
متن کاملSubgroups of Some Fuchsian Groups Defined by Two Linear Congruences
In this article we define a new family of subgroups of Fuchsian groups H( √ m), for a squarefree positive integer m, and calculate their index in H( √ m) and their parabolic class number. Moreover, we will show that the index of these subgroups is closely related to the solvability of a quadratic congruence x2 ≡ m(mod n) and the number of inequivalent solutions of a quadratic congruence x2 ≡ 1(...
متن کاملRandom Walks on Co-compact Fuchsian Groups
It is proved that the Green’s function of a symmetric finite range randomwalk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also shown that Ancona’s inequalities extend to R, and therefore that the Martin boundary for R−potentials coincides with the natural geometric boundary S, and that the Martin kernel is uniformly Hölder continuous. Fi...
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: New Trends in Mathematical Science
سال: 2018
ISSN: 2147-5520
DOI: 10.20852/ntmsci.2018.287