Definition:Field of Integers Modulo Prime/Also denoted as
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Definiend: Also known as
When the operations are understood to be $+_p$ and $\times_p$, it is usual to use just $\Z_p$ to denote the field of integers modulo $p$.
The notation $\Z / p$ and $\Z / p \Z$ are also seen, deriving from Quotient Ring of Integers by Integer Multiples.
Some sources use the notation $\map {\mathrm {GF} } p$, in light of the fact that $\struct {\Z_p, +_p, \times_p}$ is a Galois field.
Sources
- 1978: John S. Rose: A Course on Group Theory ... (previous) ... (next): $0$: Some Conventions and some Basic Facts