Abstract
In this chapter we reintroduce primitive roots, or primitive elements, of finite fields. The existence of primitive roots has many useful consequences, from making computations easier via the use of “logarithms,” to contributing to a theoretical understanding of finite fields. Most of the rest of the book builds on the availability of primitive roots. Chapters 23–27 are primarily devoted to primitive roots and applications to numbers; Chapters 28–30 return to polynomials and congruence classes modulo a polynomial.
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© 1995 Springer Science+Business Media New York
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Childs, L.N. (1995). Primitive Roots. In: A Concrete Introduction to Higher Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8702-0_23
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DOI: https://doi.org/10.1007/978-1-4419-8702-0_23
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98999-0
Online ISBN: 978-1-4419-8702-0
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