A Note on the Model Theory of Generalized Polygons

Tent, Katrin

Tent, Katrin

J. Symbolic Logic, Tome 65 (2000) no. 1, p. 692-702 / Harvested from Project Euclid

Résumé

Using projectivity groups, we classify some polygons with strongly minimal point rows and show in particular that no infinite quadrangle can have sharply 2-transitive projectivity groups in which the point stabilizers are abelian. In fact, we characterize the finite orthogonal quadrangles Q(4, 2), Q$^-$(5, 2) and Q(4, 3) by this property. Finally we show that the sets of points, lines and flags of any N$_1$-categorical polygon have Morley degree 1.

Publié le : 2000-06-14
Classification:

@article{1183746070,
     author = {Tent, Katrin},
     title = {A Note on the Model Theory of Generalized Polygons},
     journal = {J. Symbolic Logic},
     volume = {65},
     number = {1},
     year = {2000},
     pages = { 692-702},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746070}
}

Tent, Katrin. A Note on the Model Theory of Generalized Polygons. J. Symbolic Logic, Tome 65 (2000) no. 1, pp.  692-702. http://gdmltest.u-ga.fr/item/1183746070/