Abelian Projective Planes of Square Order

Document Type

Article

Publication Date

1989

Abstract

We prove that, under certain conditions, multipliers of an abelian projective plane of square order have odd order modulo v*, where v* is the exponent of the underlying Singer group. As a consequence, we are able to establish the non-existence of an infinite number of abelian projective planes of square order.

DOI

10.1016/S0195-6698(89)80052-6

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