Finite prime field
From Groupprops
(Redirected from Prime field)
Definition
A finite prime field is a finite field satisfying the folloqing equivalent conditions:
- It contains no proper subfield.
- Its size is a prime number.
For any prime number , there is a unique finite prime field of size
, and this is denoted
or
. This is the prime subfield (i.e., the unique smallest subfield) in any field of characteristic
.