Yoshiara, Satoshi; Pasini, Antonio On flag-transitive anomalous \(C_ 3\)-geometries. (English) Zbl 0802.51011 Beitr. Algebra Geom. 34, No. 2, 277-286 (1993). The authors’ abstract: “A finite \(C_ 3\)-geometry is called anomalous if it is neither a building nor the \(A_ 7\)-geometry. It is conjectured that no flag-transitive thick anomalous \(C_ 3\)-geometry exists. For a flag-transitive thick anomalous \(C_ 3\)-geometry, we prove that its 2- order \(y\) is odd and that its full automorphism group is non-solvable. As a corollary, there are no flag-transitive circular extensions of duals of anomalous \(C_ 3\)-geometries”. Reviewer: J.Libicher (Ostrava) Cited in 1 Document MSC: 51E25 Other finite nonlinear geometries 51A10 Homomorphism, automorphism and dualities in linear incidence geometry 05B25 Combinatorial aspects of finite geometries Keywords:anomalous \(C_ 3\)-geometries; flag-transitive PDFBibTeX XMLCite \textit{S. Yoshiara} and \textit{A. Pasini}, Beitr. Algebra Geom. 34, No. 2, 277--286 (1993; Zbl 0802.51011) Full Text: EuDML EMIS