Geodesic
On Permutation Groups with Regular Subgroup
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 359-361

Voir la notice de l'article provenant de la source Cambridge University Press

W. Burnside [3, p. 343] showed that a cyclic group of order pm (p prime, m > l) cannot occur as a regular subgroup of a simply transitive primitive group. (For definitions and notation see [9].) Groups which are contained regularly in a primitive group G only when G is doubly transitive are therefore called B-groups [9, p. 64]. 
Bercov, R. D. On Permutation Groups with Regular Subgroup. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 359-361. doi: 10.4153/CMB-1974-065-8
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[1] 1. Bercov, R. D.. The double transitivity of a class of permutation groups. Can. J. Math. 17 (1965), 480-493. Google Scholar

[2] 2. Bercov, R. D.. On simply transitive primitive permutation groups. Can. J. Math. 21 (1969), 1062-1068. Google Scholar

[3] 3. Burnside, W.. Theory of groups of finite order. 2nd ed. Cambridge (1911). Google Scholar

[4] 4. Kochendorffer, . Untersuchangen uber eine Vermutung von W. Burnside. Schnften math. Sem. Inst, angew Math. Univ. Berlin. 3 (1937), 155-190. Google Scholar

[5] 5. Manning, D.. On simply transitive groups with transitive abelian subgroups of the same degree . Trans Amer. Math. Soc. 40 (1936), 324-342. Google Scholar

[6] 6. Manning, W. A.. On the primitive groups of class ten . Amer. J. Math. 28, 226-236. Google Scholar

[7] 7. Schur, I.. Zur Théorie der einfoch transitives Permutationsgruppen. Sitzungsbeichte Press Akad. Wiss. phys.-math. Kl (1933), 598-623. Google Scholar

[8] 8. Wielandt, H.. Zur Théorie der einfach transitiven Permutationsgruppen. Math. Z. 40 (1935) 582-587. Google Scholar

[9] 9. Wielandt, H.. Finite permutation groups. Academic Press, New York (1964). Google Scholar

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