Cover Image

Multiplicative orders of elements in Conway's towers of finite fields

We give a lower bound on multiplicative orders of some elements in defined by Conway towers of finite fields of characteristic two and also formulate a condition under that these elements are primitive.

Saved in:

Bibliographic Details
Date:	2018
Main Author:	Popovych, Roman
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	finite field multiplicative order Conway's tower 11T30
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Similar Items

On elements of high order in general finite fields
by: Popovych, Roman
Published: (2018)

The word problem in Hanoi Towers groups
by: Bondarenko, Ievgen
Published: (2018)

Tiled orders over discrete valuation rings, finite Markov chains and partially ordered sets. I
by: Chernousova, Zh. T., et al.
Published: (2018)

On the number of topologies on a finite set
by: Kizmaz, M. Yasir
Published: (2019)

Tiled orders over discrete valuation rings, finite Markov chains and partially ordered sets. II
by: Chernousova, Zh. T., et al.
Published: (2018)

Representations of ordered doppelsemigroups by binary relations
by: Zhuchok, Yurii, et al.
Published: (2019)

Quasi-idempotents in finite semigroup of full order-preserving transformations
by: Imam, A. T., et al.
Published: (2023)

Induction heating of rotating nonmagnetic billet in magnetic field produced by high-parameter permanent magnets
by: Doležel, Ivo, et al.
Published: (2014)

Galois orders of symmetric differential operators
by: Futorny, Vyacheslav, et al.
Published: (2017)

Method for control by orbital spacecraft magnetic cleanliness based on multiple magnetic dipole models with consideration of their uncertainty
by: Kuznetsov, B. I., et al.
Published: (2023)

Role of multiple reflections in the formationof wave field in the cretaceous successions of the Middli Kura depression in Azerbaijan
by: Akhmedov, T. R., et al.
Published: (2021)

On strongly graded Gorestein orders
by: Theohari-Apostolidi, Th., et al.
Published: (2018)

Dickkopf-related protein 1 expression in bone marrow of multiple myeloma patients: correlation with bone disease and plasma cell malignancy type
by: Auziņa, D., et al.
Published: (2023)

Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order
by: Asaad, M., et al.
Published: (2018)

PARAMETERS OF INFRASONIC SIGNALS GENERATED IN THE ATMOSPHERE BY MULTIPLE EXPLOSIONS AT AN AMMUNITION DEPOT
by: Chernogor, L. F., et al.
Published: (2018)

Weighted partially orderd sets of finite type
by: Drozd-Koroleva, Olena
Published: (2018)

Three dimensional finite-differential simulation of the wave field taking sphericity of the Earth into account
by: Verpakhovskaya, A.O., et al.
Published: (2020)

Dimensions of finite type for representations of partially ordered sets
by: Drozd, Yuriy A., et al.
Published: (2018)

Three-dimensional modeling of temporal field by radial and finite-differential methods for solving the problems of seismology
by: Pilipenko, V.N., et al.
Published: (2019)

A note on maximal ideals in ordered semigroups
by: Kehayopulu, N., et al.
Published: (2018)

Generalized multiplicative bases for one-sided bimodule problems
by: Babych, Vyacheslav, et al.
Published: (2018)

Computational studies of electromagnetic field propagation and deforming of structural elements for a thin-walled curved workpiece and an inductor
by: Lavinsky, D. V., et al.
Published: (2024)

Rigid, quasi-rigid and matrix rings with \((\overline{\sigma},0)\)multiplication
by: Abdioglu, Cihat, et al.
Published: (2018)

\((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups
by: Feng, Yuming, et al.
Published: (2018)

Ideals in \((\mathcal{Z}^{+},\leq_{D})\)
by: Sagi, Sankar
Published: (2018)

Orthoscalar representations of the partially ordered set \((N, 4)\)
by: Kruglyak, S. A., et al.
Published: (2018)

Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree
by: Stronska, Anna
Published: (2018)

Optimization of fractional PI controller parameters for enhanced induction motor speed control via indirect field-oriented control
by: Alnaib, I. I., et al.
Published: (2025)

Use of Refined Finite Element Models for Solving the Contact Thermoalasticity Problem of Gas Turbine Rotors
by: Morgun, Sergey A., et al.
Published: (2018)

Use of Refined Finite Element Models for Solving the Contact Thermoalasticity Problem of Gas Turbine Rotors
by: Morgun, Sergey A., et al.
Published: (2018)

Finite groups with a system of generalized central elements
by: Shemetkova, Olga
Published: (2018)

Characterization of regular convolutions
by: Sagi, Sankar
Published: (2018)

Arithmetic properties of exceptional lattice paths
by: Rump, Wolfgang
Published: (2018)

Finitely presented quadratic algebras of~intermediate growth
by: Koçak, Dilber
Published: (2015)

THEORETICAL POWER CHARACTERISTICS OF THE SECONDARY WIND TURBINE OF A WIND POWER PLANT WITH AERODYNAMIC MULTIPLICATION
by: Alekseevskiy , D., et al.
Published: (2025)

Method of hypercomplex numbers systems generation for modeling digital reversible filters of 4th order
by: Kalinovsky, Ya. A., et al.
Published: (2019)

Spectral multiplicity functions of adjacency operators of graphs and cospectral infinite graphs
by: de la Harpe, Pierre
Published: (2024)

FUZZY SECOND ORDER SLIDING MODE CONTROL OF A UNIFIED POWER FLOW CONTROLLER
by: Hinda, Abdellatif, et al.
Published: (2019)

ANALYSIS OF SOLAR RADIATION CONCENTRATION PLANTS TO ENSURE THE OPERATION OF THE STIRLING ENGINE
by: Golovko, V., et al.
Published: (2023)

Quasi semiprime multiplication modules over a pullback of a pair of Dedekind domains
by: Ghiasvand, P., et al.
Published: (2023)