Abstract
We certainly know that finite fields exist. To summarise what we know already, from Theorem 1.14 and (1.20) we know that a finite field K has characteristic p, a prime number, and that its minimal subfield, known as its prime subfield, is
The prime subfield is isomorphic to ℤ p , the field of integers modulo p.
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© 2006 Springer-Verlag London Limited
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(2006). Finite Fields. In: Fields and Galois Theory. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-84628-181-5_6
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DOI: https://doi.org/10.1007/978-1-84628-181-5_6
Publisher Name: Springer, London
Print ISBN: 978-1-85233-986-9
Online ISBN: 978-1-84628-181-5
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