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Codes with simple automorphism groups. (English) Zbl 0241.20028


MSC:

20E36 Automorphisms of infinite groups
20G40 Linear algebraic groups over finite fields
94B99 Theory of error-correcting codes and error-detecting codes
Full Text: DOI

References:

[1] E. F. Assmus, Jr. andH. F. Mattson, Perfect Codes and the Mathieu Groups. Arch. Math.17, 121-135 (1966). · Zbl 0144.26203 · doi:10.1007/BF01899857
[2] E. F. Assmus, Jr. andH. F. Mattson, New 5-designs. J. Combinatorial Theory6, 122-151 (1969). · Zbl 0179.02901 · doi:10.1016/S0021-9800(69)80115-8
[3] R. Brauer, On Permutation Groups of Prime Degree. Ann. of Math., II. Ser44, 57-79 (1943). · Zbl 0061.03705 · doi:10.2307/1969065
[4] R. D.Carmichael, Introduction to the Theory of Groups of Finite Order. New York 1956. · Zbl 0075.23901
[5] K. D. Fryer, Permutation Groups of Prime Degree. Canad. J. Math.7, 24-34 (1955). · Zbl 0064.02503 · doi:10.4153/CJM-1955-004-3
[6] D.Gorenstein, Group Theory. New York 1968.
[7] S.MacLane and G.Birkhoff, Algebra. New York 1967.
[8] L. J. Paige, A Note on the Mathieu Groups. Canad. J. Math.9, 15-18 (1956). · Zbl 0077.03203 · doi:10.4153/CJM-1957-003-8
[9] E. T. Parker andP. J. Nikolai, A Search for Analogues of the Mathieu Groups. Math. Tables Aids Comput.12, 38-43 (1958). · doi:10.2307/2002126
[10] W. R.Scott, Group Theory. Englewood Cliffs 1965.
[11] H.Wielandt, Finite Permutation Groups. New York 1964. · Zbl 0138.02501
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