A theorem of O'Nan for finite linear spaces

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1. [1] F. Buekenhout, A. Delandtsheer, and J. Doyen, Finite linear spaces with flag-transitive groups, J. Combin. Theory Ser. A 49 (1988), 268-293. Zbl0658.20001
2. [2] A. R. Camina, Permutation groups of even degree whose 2-point stabilisers are isomorphic cyclic 2-groups, Math. Z. 165 (1979), 239-242. Zbl0379.20003
3. [3] A. R. Camina, Groups acting flag-transitively on designs, Arch. Math. (Basel) 32 (1979), 424-430. Zbl0423.20003
4. [4] P. Dembowski, Finite Geometries, Springer, Berlin 1968. 
5. [5] W. Feit and J. G. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 771-1029. Zbl0124.26402
6. [6] G. Glauberman, Central elements in core-free groups, J. Algebra 4 (1966), 403-420. Zbl0145.02802
7. [7] D. Gorenstein, Finite Groups, Harper & Row, New York 1968. 
8. [8] H. Kurzweil, Endliche Gruppen, Springer, Berlin 1977. 
9. [9] M. O’Nan, A characterization of $L_n\left(q\right)$ as a permutation group, Math. Z. 127 (1972), 301-314. Zbl0258.20003
10. [10] M. O'Nan, Normal structure of the one-point stabilizer of a doubly-transitive permutation group. I, Trans. Amer. Math. Soc. 214 (1975), 1-42. 
11. [11] T. G. Ostrom and A. Wagner, On projective and affine planes with transitive collineation groups, Math. Z. 71 (1959), 186-199. Zbl0085.14302
12. [12] H. Wielandt, Finite Permutation Groups, Academic Press, New York 1964. Zbl0138.02501
13. [13] P.-H. Zieschang, Über eine Klasse von Permutationsgruppen, Dissertation, Univ. Kiel, 1983. 
14. [14] P.-H. Zieschang, Fahnentransitive Automorphismengruppen von Blockplänen, Geom. Dedicata 18 (1985), 173-180.