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Question

Which of the following is the defining property of the characteristic p for a finite field F:
A) The sequence of elements `1_F , 2 * 1_F , 3 * 1_F , ...` is infinite because the characteristic is prime.
B) The elements `1_F , 2 * 1_F , ... , (p - 1) * 1_F` are all distinct , and the next element , `p * 1_F` equals `0_F` ?