“School of Mathematics”
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| Paper IPM / M / 7744 |
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| Abstract: | |
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Let n be a positive integer and a be an integer.
Gauss proved that ∑d|nμ(n/d)ad ≡ 0 (mod n), where μ is the Mobius function. This
result generalizes both Fermat's Little Theorem and Euler's
Theorem. In this paper, a generalization of this result to finite
groups is proved by methods of (multi-) linear algebra.
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