[PDF][PDF] Constructive aspects of wreath products and quasiprimitive permutation groups

DH Bernhardt - 2022 - publications.rwth-aachen.de
In 1993, Praeger introduced quasiprimitive permutation groups. A finite group acting on a
finite set is said to act quasiprimitively if every non-trivial normal subgroup acts transitively. In …

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle ,

J Lu, Y Zhang, H Zou - Journal of Algebraic Combinatorics, 2024 - Springer
A central problem in the study of generalized quadrangles is to classify finite generalized
quadrangles satisfying certain symmetry conditions. It is known that an automorphism group …

On finite generalized quadrangles of even order

T Feng - Advances in Mathematics, 2023 - Elsevier
In this paper, we establish the following two results:(1) a skew translation generalized
quadrangle of even order is a translation generalized quadrangle,(2) a generalized …