Add to ORKGLet L/K be a finite extension of fields, with n = [L: K]. We will associate to this extension two important functions L → K, called the trace and the norm. They are related to the trace and determinant of matrices and have many important applications in the study of fields (and rings). Among elementary applications, the trace can be used to show certai
In this article, we survey several kinds of trace formulas that one encounters in the theory of sing...
AbstractGiven an extension E/F of Galois fields and an intermediate field K, we consider the problem...
International audienceLet p be a prime number and let q = p(r). If C and D are large subsets of F-q(...
Let L/K be a finite extension of fields, with n = [L: K]. We will associate to this extension two im...
Abstract. The norm and trace can be defined for any finite field extension. In this paper, we shall ...
Let L/K be a finite Galois extension, with Galois group G = Gal(L/K). We can express characteristic ...
51 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In the second chapter, we defi...
51 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In the second chapter, we defi...
Given the extension E/F of Galois fields, where F = GF(q) and E = GF(q^n), we prove that, for any pr...
Given the extension E/F of Galois fields, where F = GF(q) and E = GF(q^n), we prove that, for any pr...
© 2020, Pleiades Publishing, Ltd. Let tr be the canonical trace on the full matrix algebra ℳn with u...
The notion of trace for an element in an algebraic extension of a field can be extended for (not nec...
Given an extension E/F of Galois fields and an intermediate field K, we consider the problem whether...
This dissertation provides elementary facts about trace forms over finite fields of characteristic t...
Given an extension E/F of Galois fields and an intermediate field K, we consider the problem whether...
In this article, we survey several kinds of trace formulas that one encounters in the theory of sing...
AbstractGiven an extension E/F of Galois fields and an intermediate field K, we consider the problem...
International audienceLet p be a prime number and let q = p(r). If C and D are large subsets of F-q(...
Let L/K be a finite extension of fields, with n = [L: K]. We will associate to this extension two im...
Abstract. The norm and trace can be defined for any finite field extension. In this paper, we shall ...
Let L/K be a finite Galois extension, with Galois group G = Gal(L/K). We can express characteristic ...
51 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In the second chapter, we defi...
51 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In the second chapter, we defi...
Given the extension E/F of Galois fields, where F = GF(q) and E = GF(q^n), we prove that, for any pr...
Given the extension E/F of Galois fields, where F = GF(q) and E = GF(q^n), we prove that, for any pr...
© 2020, Pleiades Publishing, Ltd. Let tr be the canonical trace on the full matrix algebra ℳn with u...
The notion of trace for an element in an algebraic extension of a field can be extended for (not nec...
Given an extension E/F of Galois fields and an intermediate field K, we consider the problem whether...
This dissertation provides elementary facts about trace forms over finite fields of characteristic t...
Given an extension E/F of Galois fields and an intermediate field K, we consider the problem whether...
In this article, we survey several kinds of trace formulas that one encounters in the theory of sing...
AbstractGiven an extension E/F of Galois fields and an intermediate field K, we consider the problem...
International audienceLet p be a prime number and let q = p(r). If C and D are large subsets of F-q(...