caa a22 4500 445813601 CHVBK 20180317145219.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00022-011-0079-x doi (NATIONALLICENCE)springer-10.1007/s00022-011-0079-x Benz planes of Dembowski type and groups of tangential projectivities [Elektronische Daten] [Adriano Barlotti, Karl Strambach] Using the tangential relation we introduce in Benz planes M of Dembowski type, which generalize the Benz planes over algebras of characteristic 2, the group Π of tangential perspectivities. We prove that these groups have the same behaviour as the classical groups of projectivities if any tangential perspectivity is induced by an automorphism of M. As permutation groups of a circle onto itself the groups Π essentially differs from the classical groups of projectivities. If M is a Laguerre plane of Dembowski type, then Π is always sharply 3-transitive. For Minkowski planes of Dembowski type Π is at least 2-transitive. If M is a finite Benz plane of order 2 s , then Π is isomorphic to the group PGL 2(2 s ) in its sharply 3-transitive representation. Springer Basel AG, 2011 Benz plane of Dembowski type nationallicence tangential projectivity nationallicence Barlotti Adriano Department Mathematik, Universität Erlangen-Nürnberg, Bismarkstr. 1 1/2, 91054, Erlangen, Germany aut Strambach Karl Department Mathematik, Universität Erlangen-Nürnberg, Bismarkstr. 1 1/2, 91054, Erlangen, Germany aut Journal of Geometry SP Birkhäuser Verlag Basel 101/1-2(2011-08-01), 3-29 0047-2468 101:1-2<3 2011 101 22 https://doi.org/10.1007/s00022-011-0079-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00022-011-0079-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barlotti Adriano Department Mathematik, Universität Erlangen-Nürnberg, Bismarkstr. 1 1/2, 91054, Erlangen, Germany aut NATIONALLICENCE 700 1- Strambach Karl Department Mathematik, Universität Erlangen-Nürnberg, Bismarkstr. 1 1/2, 91054, Erlangen, Germany aut NATIONALLICENCE 773 0- Journal of Geometry SP Birkhäuser Verlag Basel 101/1-2(2011-08-01), 3-29 0047-2468 101:1-2<3 2011 101 22 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer