Geodesic
Extremely primitive groups and linear spaces
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 2, pp. 445-455.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A non-regular primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its nontrivial orbits. Let S be a nontrivial finite regular linear space and G≤Aut(S). Suppose that G is extremely primitive on points and let rank(G) be the rank of G on points. We prove that rank(G)≥4 with few exceptions. Moreover, we show that Soc(G) is neither a sporadic group nor an alternating group, and G=PSL(2,q) with q+1 a Fermat prime if Soc(G) is a finite classical simple group.
DOI : 10.1007/s10587-016-0267-9
Classification : 05B05, 05B25, 20B15, 20B25
Mots-clés : linear space; automorphism; point-primitive automorphism group; extremely primitive permutation group 
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Guan, Haiyan; Zhou, Shenglin. Extremely primitive groups and linear spaces. Czechoslovak Mathematical Journal, Tome 66 (2016) no. 2, pp. 445-455. doi : 10.1007/s10587-016-0267-9. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0267-9/

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