Document Zbl 0294.20002

Zur Vermutung von Sims über primitive Permutationsgruppen. (German) Zbl 0294.20002

Math. Z. 144, 19-24 (1975).

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MSC:

20B10	Characterization theorems for permutation groups
20B05	General theory for finite permutation groups

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References:

[1]	Glauberman, G.: A characteristic subgroup of ap-stable group. Canadian J. Math.20, 1101-1135 (1968) · Zbl 0164.02202 · doi:10.4153/CJM-1968-107-2
[2]	Huppert, B.: Zweifach transitive auflösbare Permutationsgruppen. Math. Z.68, 126-150 (1957) · Zbl 0079.25502 · doi:10.1007/BF01160336
[3]	Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0217.07201
[4]	Knapp, W.: On the point stabilizer in a primitive permutation group. Math. Z.133, 137-168 (1973) · doi:10.1007/BF01237901
[5]	Knapp, W.: Primitive Permutationsgruppen mit einem Subkonstituenten, dessen Stabilisatoruntergruppe Fitting-frei ist. Arch. der Math.25, 472-475 (1974) · Zbl 0295.20004 · doi:10.1007/BF01238709
[6]	Scott, L. L.: A double transitivity criterion. Math. Z.115, 7-8 (1970) · Zbl 0194.03802 · doi:10.1007/BF01109742
[7]	Sims, C. C.: Graphs and finite permutation groups. Math. Z.95, 76-86 (1967) · Zbl 0244.20001 · doi:10.1007/BF01117534
[8]	Sims, C. C.: Graphs and finite permutation groups II. Math. Z.103, 276-281 (1968) · Zbl 0259.20003 · doi:10.1007/BF01114994
[9]	Thompson, J. G.: Factorizations ofp-solvable groups. Pacific J. Math.16, 371-372 (1966) · Zbl 0136.28502
[10]	Thompson, J. G.: Bounds for orders of maximal subgroups. J. Algebra14, 135-138 (1970) · Zbl 0221.20031 · doi:10.1016/0021-8693(70)90117-1
[11]	Weiss, R. M.: Über symmetrische Graphen, deren Valenz eine Primzahl ist. Math. Z.136, 277-278 (1974) · doi:10.1007/BF01214131
[12]	Wielandt, H.: Finite Permutation Groups. New York-London: Academic Press 1964 · Zbl 0138.02501
[13]	Wong, W. J.: Determination of a class of primitive permutation groups. Math. Z.99, 235-246 (1967) · Zbl 0189.31204 · doi:10.1007/BF01112454
[14]	Zassenhaus, H.: Über endliche Fastkörper. Abh. math. Sem. Univ. Hamburg11, 187-220 (1936) · Zbl 0011.10302 · doi:10.1007/BF02940723

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