4,224 research outputs found
Thenon-solvable triangle transitive planes
The class of finite translation planes admitting non-solvable triangle transitive groups is completely determined as the class of irregular nearfield planes admitting non-solvable groups
Bol planes of orders and
Finite Bol planes of order not or are known to be nearfield planes. This article resolves the remaining cases; Finite Bol planes are nearfield
Homology groups of translation planes and flocks of quadratic cones, II; j-planes
The set of j-planes with spreads in PG(3,K), for K a field admitting a quadratic field extension K+ is shown to be equivalent to the set of all det K+-monomial partial flocks of a quadratic cone. Using this connection, when K is GF(2r), the set of j-planes is determined and j = 0, 1, or 2 and correspond to the linear, Walker/Betten or Payne conical flocks, respectively. When K is the field of real numbers, the set of j-planes is completely determined and j is any real number > -½
On spreads of characteristic p admitting nonsolvable groups, whose Sylow p-subgroups are planar
Finite Doubly Transitive Affine Planes
AbstractIn this article, we classify the finite affine planes admitting doubly transitive collineation groups
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