caa a22 4500 445855479 CHVBK 20180317145426.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00026-011-0083-8 doi (NATIONALLICENCE)springer-10.1007/s00026-011-0083-8 Local Sharply Transitive Actions on Finite Generalized Quadrangles [Elektronische Daten] [Theo Grundhöfer, Hendrik Van Maldeghem] We classify the finite generalized quadrangles containing a line L such that some group of collineations acts sharply transitively on the ordered pentagons which start with two points of L. This can be seen as a generalization of a result of Thas and the second author [22] classifying all finite generalized quadrangles admitting a collineation group that acts transitively on all ordered pentagons, although the restriction to sharp transitivity is essential in our arguments. However, the conclusion is exactly the same family of classical generalized quadrangles (the orthogonal quadrangles and their duals). Our main result thus provides a local group theoretic characterization of these classical quadrangles. Springer Basel AG, 2011 Moufang panel nationallicence root elations nationallicence classical generalized quadrangles nationallicence Grundhöfer Theo Institut für Mathematik, Universität Würzburg, Am Hubland, D-97074, Würzburg, Germany aut Van Maldeghem Hendrik Department for Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, B-9000, Gent, Belgium aut Annals of Combinatorics SP Birkhäuser Verlag Basel 15/1(2011-03-01), 69-80 0218-0006 15:1<69 2011 15 26 https://doi.org/10.1007/s00026-011-0083-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00026-011-0083-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grundhöfer Theo Institut für Mathematik, Universität Würzburg, Am Hubland, D-97074, Würzburg, Germany aut NATIONALLICENCE 700 1- Van Maldeghem Hendrik Department for Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, B-9000, Gent, Belgium aut NATIONALLICENCE 773 0- Annals of Combinatorics SP Birkhäuser Verlag Basel 15/1(2011-03-01), 69-80 0218-0006 15:1<69 2011 15 26 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer