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Abstract
© 2014 Elsevier Inc. Triple factorisations of finite groups G of the form G=PQP are essential in the study of Lie theory as well as in geometry. Geometrically, each triple factorisation G=PQP corresponds to a Gflag transitive point/line geometry such that 'each pair of points is incident with at least one line'. We call such a geometry collinearly complete, and duality (interchanging the roles of points and lines) gives rise to the notion of concurrently complete geometries. In this paper, we study triple factorisations of the general linear group GL(V) as PQP where the subgroups P and Q either fix a subspace or fix a decomposition of V as V1⊕V2 with dim(V1)=dim(V2).
Original language  English 

Pages (fromto)  169203 
Number of pages  35 
Journal  Linear Algebra and Its Applications 
Volume  469 
DOIs  
Publication status  Published  15 Mar 2015 
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Dive into the research topics of 'Triple factorisations of the general linear group and their associated geometries'. Together they form a unique fingerprint.Projects
 3 Finished


Permutation Groups and their Interplay with Symmetry in Finite Geometry and Graph Theory
31/12/08 → 31/01/16
Project: Research
