On transitive permutation groups with primitive subconstituents

Let G be a transitive permutation group on a set Ω such that, for ω∈Ω, the stabiliser Gω induces on each of its orbits in Ω\{ω} a primitive permutation group (possibly of degree 1). Let N be the normal closure of Gω in G. Then (Theorem 1) either N factorises as N=GωGδ for some ω, δ∈Ω, or all unfaith...

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Bibliographic Details
Main Authors: Pasechnik, Dmitrii V., Praeger, Cheryl E.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/80115
http://hdl.handle.net/10220/9150
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Institution: Nanyang Technological University
Language: English

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