Flag-transitive Planes of Even Order1
نویسندگان
چکیده
منابع مشابه
Cubic Extensions of Flag-transitive Planes, I. Even Order
The collineation groups of even order translation planes which are cubic extensions of flag-transitive planes are determined. 2000 Mathematics Subject Classification. Primary 51E.
متن کاملOdd order flag-transitive a‰ne planes of dimension three over their kernel
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...
متن کاملOdd 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...
متن کاملA Class of Flag Transitive Planes
A class of translation affine planes of order q2, where q is a power of a prime/>>3 is constructed. These planes have an interesting property that their collineation groups are flag transitive.
متن کاملNearly flag-transitive affine planes
Spreads of orthogonal vector spaces are used to construct many translation planes of even order q, for odd m > 1, having a collineation with a (q − 1)-cycle on the line at infinity and on each of two affine lines.
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تاریخ انتشار 2010