Proof of the prime power conjecture for projective planes of order $n$ with Abelian collineation groups of order $n^2$

A. Blokhuis; D. Jungnickel; B. Schmidt

doi:10.1090/S0002-9939-01-06388-2

Proof of the prime power conjecture for projective planes of order $n$ with Abelian collineation groups of order $n^2$

A. Blokhuis
, D. Jungnickel
, B. Schmidt

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

26 Citations (Scopus)

6 Downloads (Pure)

Abstract

Let be an abelian collineation group of order of a projective plane of order . We show that must be a prime power, and that the -rank of is at least if for an odd prime .

Original language	English
Pages (from-to)	1473-1476
Journal	Proceedings of the American Mathematical Society
Volume	130
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-01-06388-2
Publication status	Published - 2002

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title = "Proof of the prime power conjecture for projective planes of order \$n\$ with Abelian collineation groups of order \$n\textasciicircum{}2\$",

abstract = "Let be an abelian collineation group of order of a projective plane of order . We show that must be a prime power, and that the -rank of is at least if for an odd prime .",

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

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Proof of the prime power conjecture for projective planes of order $n$ with Abelian collineation groups of order $n^2$

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