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References

  1. R. Baer, Einfache Partitionen endlicher Gruppen mit nichttrivialer Fittingscher Untergruppe,Arch. der Mathematik,12 (1961), pp. 81–99.

    Google Scholar 

  2. R. Baer, Einfache Partitionen nicht-einfacher Gruppen,Math. Z.,77 (1961), pp. 1–37.

    Google Scholar 

  3. R. Baer, Group Elements of Prime Power Order,Am. Math. Soc. Trans.,75 (1953), pp. 20–47.

    Google Scholar 

  4. R. Baer, Partitionen endlicher Gruppen,Math. Z.,75 (1961), pp. 333–376.

    Google Scholar 

  5. M. Hall, Jr.,The Theory of Groups, Macmillan (New York, 1959).

    Google Scholar 

  6. D. Hughes andJ. Thompson, TheH p-Problem and the Structure of theH p-Groups,Pac. J. of Math.,9 (1959), pp. 1097–1102.

    Google Scholar 

  7. N. Iwahori andT. Kondo, A Criterion for the Existence of a Non-Trivial Partition of a Finite Group with Applications to Finite Reflection Groups,J. Math. Soc. Japan,17(2) (1965), pp. 207–215.

    Google Scholar 

  8. O. Kegel, Nicht-einfache Partitionen endlicher Gruppen,Arch. der. Mathematik,12 (1961), pp. 170–175.

    Google Scholar 

  9. O. Kegel, Die Nilpotenz derH p-Gruppen,Math. Z.,75 (1961), pp. 373–376.

    Google Scholar 

  10. O. Kegel andG. Wall, Zur Struktur endlicher Gruppen mit nicht-trivialer Partitionen,Arch. der Mathematik,12 (1961), pp. 256–261.

    Google Scholar 

  11. Schenkman,Group Theory, Van Nostrand (New Jersey, 1965).

    Google Scholar 

  12. W. Scott,Group Theory, Prentice Hall (New York, 1964).

    Google Scholar 

  13. M. Suzuki, A New Type of Simple Groups of Finite Order,Proc. Nat. Acad. Sci. (U.S.A.),46 (1960), pp. 868–870.

    Google Scholar 

  14. M. Suzuki, On Finite Groups with a Partition,Arch. Math.,12 (1961), pp. 241–254.

    Google Scholar 

  15. M. Suzuki, On Finite Groups with Cyclic Sylow Subgroups for All Odd Primes,Amer. J. Math.,77 (1955), pp. 657–691.

    Google Scholar 

  16. J. Thompson, Finite Groups with a Fixed Point Free Automorphism of Prime Order,Proc. Nat. Acad. Sci. (U.S.A.),44 (1959), pp. 578–581.

    Google Scholar 

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This paper is part of the author's doctoral dissertation at Michigan State University (1968) which was written under the guidance of Professor W. E. Deskins.

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Richards, J.W. cπ-Partitions of finite groups. I. Acta Mathematica Academiae Scientiarum Hungaricae 24, 65–75 (1973). https://doi.org/10.1007/BF01894611

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