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Abstract
A linear group G ≤ GL(V ), where V is a finite vector space, is called 1 2 transitive if all the Gorbits on the set of nonzero vectors have the same size. We complete the classification of all the 1 2 transitive linear groups. As a consequence we complete the determination of the finite 3 2 transitive permutation groups  the transitive groups for which a pointstabilizer has all its nontrivial orbits of the same size. We also determine the (k + 1 2 )transitive groups for integers k ≥ 2.
Original language  English 

Pages (fromto)  50235037 
Number of pages  15 
Journal  Proceedings of the American Mathematical Society 
Volume  147 
Issue number  12 
DOIs  
Publication status  Published  1 Jan 2019 
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Dive into the research topics of 'The classification of 3 2transitive permutation groups and 1 2transitive linear groups'. Together they form a unique fingerprint.Projects
 1 Finished

Finite linearly representable geometries and symmetry
Praeger, C., Glasby, S. & Niemeyer, A.
1/01/14 → 31/05/19
Project: Research