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|Paper IPM / M / 7650||
Let p be a prime number and a be an integer.
Fermat's little theorem states that ap ≡ a (mod p). This result is generally established by an appeal to the
theorem of elementary group theory that asserts that x|G| = 1
for every element x of a finite group G. In this note we
describe another way that group theory can be used to establish
Fermat's little theorem and related results.
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