Finite projective planes and a question about primes

Author:
Walter Feit

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

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an even integer not divisible by 3. Suppose that is a prime and . The question is asked whether this can only occur if 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.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1990-1002157-4

Keywords:
Finite projective plane,
flag transitive,
prime

Article copyright:
© Copyright 1990
American Mathematical Society