Finite projective planes and a question about primes
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- by Walter Feit PDF
- Proc. Amer. Math. Soc. 108 (1990), 561-564 Request permission
Abstract:
Let $n$ be an even integer not divisible by 3. Suppose that $p = {n^2} + n + 1$ is a prime and ${2^{n + 1}} \equiv 1\left ( {\bmod p} \right )$. The question is asked whether this can only occur if $n$ is a power of 2. It is noted that an affirmative answer to this question implies that a finite projective plane with a flag transitive collineation group is Desarguesian.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 561-564
- MSC: Primary 51E15; Secondary 05B10, 51A35
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002157-4
- MathSciNet review: 1002157