A note on towers of function fields over finite fields

Date

1998-01-01

Author

Özbudak, Ferruh

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

241
views

0
downloads

For a tower F-1 subset of or equal to F-2 subset of or equal to ... of algebraic function fields F-i/F-q, define lambda := lim(i-->infinity) N(F-i)/g(F-i), where N(F-i) is the number of rational pieces and g(F-i) is the genus of F-i/F-q. The purpose of this note is to calculate lambda for a class of towers which was studied in [1], [2] and [3].

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/43151

Journal

COMMUNICATIONS IN ALGEBRA

DOI

https://doi.org/10.1080/00927879808826370

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Memorandum on multiplicative bijections and order Cabello Sanchez, Felix; Cabello Sanchez, Javier; ERCAN, ZAFER; Önal, Süleyman (Springer Science and Business Media LLC, 2009-08-01) Let C(X, I) denote the semigroup of continuous functions from the topological space X to I = [0, 1], equipped with the pointwise multiplication. The paper studies semigroup homomorphisms C(Y, I) -> C(X, I), with emphasis on isomorphisms. The crucial observation is that, in this setting, homomorphisms preserve order, so isomorphisms preserve order in both directions and they are automatically lattice isomorphisms. Applications to uniformly continuous and Lipschitz functions on metric spaces are given. Sample...
A short note on permutation trinomials of prescribed type Akbal, Yildirim; GÜLMEZ TEMÜR, BURCU; Ongan, Pinar (Informa UK Limited, 2019-11-21) We show that there are no permutation trinomials of the form hox 1/4 x5 ox5oq1 xq1 1 over Fq2 where q is not a power of 2. Together with a result of Zha, Z., Hu, L., Fan, S., hox permutes Fq2 if q 1/4 2k where k 2 omod 4, this gives a complete classification of those q's such that hox permutes F-q(2).
Some sufficient conditions for p-nilpotency of a finite group Kızmaz, Muhammet Yasir (Informa UK Limited, 2019-09-02) Let G be a finite group and let p be prime dividing . In this article, we supply some sufficient conditions for G to be p-nilpotent (see Theorem 1.2) as an extension of the main theorem of Li et al. (J. Group Theor. 20(1): 185-192, 2017).
A note on divisor class groups of degree zero of algebraic function fields over finite fields Özbudak, Ferruh (Elsevier BV, 2003-01-01) We give tight upper bounds on the number of degree one places of an algebraic function field over a finite field in terms of the exponent of a natural subgroup of the divisor class group of degree zero.. (C) 2002 Elsevier Science (USA). All rights reserved.
A technical note on weak shift equivalence Tezer, Cem (Elsevier BV, 1999-06-01) Weak shift equivalence which arises in the dynamical study of certain attractors is shown to be an equivalence relation among group endomorphisms. (C) 1999 Academic Press.

Citation Formats

F. Özbudak, “A note on towers of function fields over finite fields,” COMMUNICATIONS IN ALGEBRA, pp. 3737–3741, 1998, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43151.