Finite elation Laguerre planes admitting a two-transitive group on their set of generators
نویسندگان
چکیده
We investigate finite elation Laguerre planes admitting a group of automorphisms that is two-transitive on the set of generators. We exclude the sporadic cases of socles in two-transitive groups, as well as the cases with abelian socle (except for the smallest ones, where the Laguerre planes are Miquelian of order at most four). The remaining cases are dealt with in a separate paper. As a consequence, a finite elation Laguerre plane admitting a group of automorphisms that is two-transitive on the set of generators is Miquelian. MSC 2010: 51E25, 51B15, 20B20.
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