1 M ay 2 01 7 Maximum scattered F q - linear sets of PG ( 1 , q 4 )
نویسنده
چکیده
There are two known families of maximum scattered Fq-linear sets in PG(1, q): the linear sets of pseudoregulus type and for t ≥ 4 the scattered linear sets found by Lunardon and Polverino. For t = 4 we show that these are the only maximum scattered Fq-linear sets and we describe the orbits of these linear sets under the groups PGL(2, q) and PΓL(2, q).
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A Collection of MTA–ELTE GAC manuscripts
There are two known families of maximum scattered Fq-linear sets in PG(1, q): the linear sets of pseudoregulus type and for t ≥ 4 the scattered linear sets found by Lunardon and Polverino. For t = 4 we show that these are the only maximum scattered Fq-linear sets and we describe the orbits of these linear sets under the groups PGL(2, q) and PΓL(2, q).
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