References
P.Bhattacharya, A Study of some multiply transitive permutation groups. D. Phil. Thesis. University of Oxford 1979.
É. Mathieu, Sur la fonction cinq fois transitive de 24 quantités. J. Math. Pures Appl.18, 25–46 (1873).
H. Nagao, On multiply transitive groups IV. Osaka J. Math.2, 327–341 (1965).
P. M.Neumann, Transitive permutation groups of prime degree. In: Proc. Int. Conf. on Theory of Groups (Canberra 1973), 520–535. Berlin-Heidelberg-New York 1974.
P. M. Neumann, Generosity and characters of multiply transitive permutation groups. Proc. Lond. Math. Soc.31, 457–481 (1975).
P. M. Neumann, Transitive permutation groups of prime degree, IV: A Problem of Mathieu and a theorem of Ito. Proc. Lond. Math. Soc.32, 52–62 (1976).
C. Praeger, On the Sylow subgroups of a doubly transitive permutation group II. Math. Z.143, 131–143 (1975).
E. P. Shaughnessy, Codes with simple automorphism groups. Arch. Math.22, 459–466 (1971).
H.Wielandt, Finite permutation groups. London-New York 1964.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bhattacharya, P. Permutation groups containing projective special linear groups of the same degree: A problem of Mathieu. Arch. Math 37, 198–205 (1981). https://doi.org/10.1007/BF01234346
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01234346