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Über die Reduktion von Permutationsmoduln. (German) Zbl 0291.20007


MSC:

20B20 Multiply transitive finite groups
20B10 Characterization theorems for permutation groups
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References:

[1] Conway, J. H.: Three Lectures on Exceptional Groups. In: Finite simple groups. M. B. Powell and G. Higman, Eds. (Oxford 1969) Chapter VII, pp. 215-247, New York: Academic Press 1971
[2] Feit, W.: Groups with a cyclic Sylow subgroup. Nagoya math. J.27, 571-584 (1966) · Zbl 0146.03704
[3] Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0217.07201
[4] Jennings, S. A.: The structure of the group ring of ap-group over a modular field. Trans. Amer. math. Soc.50, 175-185 (1941) · Zbl 0025.24401
[5] Knapp, W.: On the point stabilizer in a primitive permutation group. Math. Z.133, 137-168 (1973) · Zbl 0259.20002 · doi:10.1007/BF01237901
[6] Schur, I.: Zur Theorie der einfach transitiven Permutationsgruppen. S.-ber. preuss. Akad. Wiss., phys.-math. Kl.18/20, 598-623 (1933). Gesammelte Abhandlungen: Bd. III. pp. 266-291. Berlin-Heidelberg-New York: Springer 1973 · JFM 59.0151.01
[7] Tsuzuku, T.: A remark on decompositions of the permutation representation of a permutation group. Nagoya math. J.22, 79-82 (1963) · Zbl 0219.20009
[8] Wielandt, H.: Permutation groups through invariant relations and invariant functions. Columbus: Ohio State University 1969
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