We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also flag-transitive then G is of Lie type. © 2012.

Bamberg, J., Giudici, M., Morris, J., Royle, G., Spiga, P. (2012). Generalised quadrangles with a group of automorphisms acting primitively on points and lines. JOURNAL OF COMBINATORIAL THEORY. SERIES A, 119(7), 1479-1499 [10.1016/j.jcta.2012.04.005].

Generalised quadrangles with a group of automorphisms acting primitively on points and lines

SPIGA, PABLO
Ultimo
2012

Abstract

We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also flag-transitive then G is of Lie type. © 2012.
Articolo in rivista - Articolo scientifico
Flag-transitive; Generalised quadrangle; Primitive permutation group; Discrete Mathematics and Combinatorics; Theoretical Computer Science; Computational Theory and Mathematics
English
2012
119
7
1479
1499
none
Bamberg, J., Giudici, M., Morris, J., Royle, G., Spiga, P. (2012). Generalised quadrangles with a group of automorphisms acting primitively on points and lines. JOURNAL OF COMBINATORIAL THEORY. SERIES A, 119(7), 1479-1499 [10.1016/j.jcta.2012.04.005].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/101617
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