Group Theory and the Law of Quadratic Reciprocity
نویسنده
چکیده
This paper explores the role of group theory in providing a proof for the Law of Quadratic Reciprocity, which states that for distinct odd primes pand q, q is a quadratic residue mod p if and only if p is a quadratic residue mod q, unless p and q are both congruent to 3 mod 4. The Law of Quadratic Reciprocity is an important result in number theory; it provides us with a simple method to determine whether a number is a quadratic residue modulo an odd prime number.
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