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A group theoretic proof of Burnside'sp a q b-theorem

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Bibliography

  1. Alperin, J., Lyons, R.: On conjugacy classes ofp-Elements. J. Algebra19, 536–537 (1971).

    Google Scholar 

  2. Bender, H.: Über den größtenp′-Normalteiler inp-auflösbaren Gruppen. Arch. der Math.18, 15–16 (1967).

    Google Scholar 

  3. Goldschmidt, D.: A group theoretic proof of thep a,q b theorem for odd primes. Math. Z.113, 373–375 (1970).

    Google Scholar 

  4. Gorenstein, D.: Finite groups. New York: Harper and Row 1968.

    Google Scholar 

  5. Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967.

    Google Scholar 

  6. Thompson, J.: Fixed points ofp-groups acting onp-groups. Math. Z.86, 12–13 (1964).

    Google Scholar 

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To Reinhold Baer, on his seventieth birthday, 22 July 1972

Part of this research was done at the University of Illinois at Chicago Circle and supported by NSF Grant GP-28420.

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Bender, H. A group theoretic proof of Burnside'sp a q b-theorem. Math Z 126, 327–338 (1972). https://doi.org/10.1007/BF01110337

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