Definition:Galois Field/Also denoted as

Galois Field: Also known as

Some sources use the notation $\map {\mathrm {GF} } q$ to denote a Galois field of order $q$.

Some sources use $\GF_q$ for $\map \GF q$.

Some sources place further emphasis on the formal nature of a Galois field by denoting it $\map {\mathrm {GF} } {p^n}$ or $\map \GF {p^n}$, and so on.

Sources

• 1978: John S. Rose: A Course on Group Theory ... (previous) ... (next): $0$: Some Conventions and some Basic Facts
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): field: 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): field: 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Galois field (finite field)