Subfields of the function field of the Deligne-Lusztig curve of Ree type

Özbudak, Ferruh


Constructions of digital nets using global function fields
Niederreiter, H; Özbudak, Ferruh (Institute of Mathematics, Polish Academy of Sciences, 2002-01-01)
The Taylor spectrum and transversality for a Heisenberg algebra of operators
Dosi, A. A. (IOP Publishing, 2010-03-01)
A problem on noncommutative holomorphic functional calculus is considered for a Banach module over a finite-dimensional nilpotent Lie algebra. As the main result, the transversality property of algebras of noncommutative holomorphic functions with respect to the Taylor spectrum is established for a family of bounded linear operators generating a Heisenberg algebra.
On the generating graphs of symmetric groups
Erdem, Fuat (Walter de Gruyter GmbH, 2018-07-01)
Let S-n and A(n) be the symmetric and alternating groups of degree n, respectively. Breuer, Guralnick, Lucchini, Maroti and Nagy proved that the generating graphs Gamma(S-n) and Gamma(A(n)) are Hamiltonian for sufficiently large n. However, their proof provided no information as to how large n needs to be. We prove that the graphs Gamma(S-n) and Gamma(A(n)) are Hamiltonian provided that n (3) 107.
On maximal curves and linearized permutation polynomials over finite fields
Özbudak, Ferruh (Elsevier BV, 2001-08-08)
The purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials. We also study linearized permutation polynomials under finite field extensions.
Action of a Frobenius-like group with fixed-point free kernel
Ercan, Gülin (Walter de Gruyter GmbH, 2014-09-01)
We call a finite group Frobenius-like if it has a nontrivial nilpotent normal subgroup F possessing a nontrivial complement H such that [F,h] = F for all nonidentity elements h is an element of H. We prove that any irreducible nontrivial FH-module for a Frobenius-like group FH of odd order over an algebraically-closed field has an H-regular direct summand if either F is fixed-point free on V or F acts nontrivially on V and the characteristic of the field is coprime to the order of F. Some consequences of th...
Citation Formats
E. ÇAKÇAK and F. Özbudak, “Subfields of the function field of the Deligne-Lusztig curve of Ree type,” ACTA ARITHMETICA, pp. 133–180, 2004, Accessed: 00, 2020. [Online]. Available: