Introduction to finite fields and their applications
Introduction to finite fields and their applications
On the sharpness of a theorem of B Segre
Combinatorica
First course in the theory of equations
First course in the theory of equations
mth-Root subgeometry partitions
Designs, Codes and Cryptography
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The classification of perfectBaer subplane partitions of { PG}(2, q^2) is equivalentto the classification of 3-dimensional flag-transitive planeswhose translation complements contain a linear cyclic group actingregularly on the line at infinity. Since all known flag-transitiveplanes admit a translation complement containing a linear cyclicsubgroup which either acts regularly on the points of the lineat infinity or has two orbits of equal size on these points,such a classification would be a significant step towards theclassification of all 3-dimensional flag-transitive planes. Usinglinearized polynomials, a parametric enumeration of all perfectBaer subplane partitions for odd q is described.Moreover, a cyclotomic conjecture is given, verified by computerfor odd prime powers q, whose truth would implythat all perfect Baer subplane partitions arise from a constructionof Kantor and hence the corresponding flag-transitive planesare all known.