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Title:Primitive Elements in Finite Fields
Author(s):Petrenko, Bogdan
Doctoral Committee Chair(s):Boston, Nigel
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:Chapter 4. Let L/K be a finite dimensional Galois field extension with Galois group G, B the set of normal basis generators for this extension, and C = {gamma ∈ L | gammaB = B}. Then C is a group under multiplication. This group has been introduced and characterized in Theorem 1.15 of a well known paper "Primitive normal bases for finite fields" by H. W. Lenstra Jr. and R. J. Schoof. This result was stated in that paper without a proof. The purpose of this paper is to give a proof Theorem 1.15.
Issue Date:2004
Type:Text
Language:English
Description:40 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.
URI:http://hdl.handle.net/2142/86843
Other Identifier(s):(MiAaPQ)AAI3153400
Date Available in IDEALS:2015-09-28
Date Deposited:2004


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