Odd order flag-transitive affine planes of dimension three over their kernel

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Odd order flag-transitive affine planes of dimension three over their kernel

With the exception of Bering's plane of order 27, all known odd order flag-transitive affine planes are one of two types: admitting a cyclic transitive action on the line at infinity, or admitting a transitive action on the line at infinity with two equal-sized cyclic orbits. In this paper we show that when the dimension over the kernel for these planes is three, then the known examples are the...

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With the exception of Hering’s plane of order 27, all known odd order flag-transitive a‰ne planes are one of two types: admitting a cyclic transitive action on the line at infinity, or admitting a transitive action on the line at infinity with two equal-sized cyclic orbits. In this paper we show that when the dimension over the kernel for these planes is three, then the known examples are the o...

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ژورنال

عنوان ژورنال: advg

سال: 2003

ISSN: 1615-7168,1615-715X

DOI: 10.1515/advg.2003.2003.s1.215