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Let F be a field of order 2n. Prove that char F = 2.
Chapter 13, Problem 35E(choose chapter or problem)
QUESTION:
Let F be a field of order 2n. Prove that char F = 2.
Questions & Answers
QUESTION:
Let F be a field of order 2n. Prove that char F = 2.
ANSWER:Step 1 of 2
Let us consider a field F of order .
It is known that any field is an integral domain. Therefore, the characteristic of F is only a prime number.
We also know that the characteristic is equal to the order of 1.