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The nonexistence of a certain type of simple groups of odd order


Author: Michio Suzuki
Journal: Proc. Amer. Math. Soc. 8 (1957), 686-695
MSC: Primary 20.0X
DOI: https://doi.org/10.1090/S0002-9939-1957-0086818-0
MathSciNet review: 0086818
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  • [2] R. Brauer, M. Suzuki and G. E. Wall, (to appear). MR 0104734 (21:3487)
  • [3] W. Burnside, Theory of groups, 1911.
  • [4] O. Grün, Beiträge zur Gruppentheorie I, J. Reine Angew. Math. vol. 174 (1936) pp. 1-14.
  • [5] K. Iwasawa, Über die Structur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind, Proceedings of the Physics-Mathematical Society of Japan vol. 23 (1941) pp. 1-4. MR 0003388 (2:211a)
  • [6] L. Redéi, Ein Satz über die endlichen einfachen Gruppen, Acta. Math. vol. 84 (1950) pp. 129-153. MR 0047645 (13:907d)
  • [7] M. Suzuki, On finite groups with cyclic Sylow subgroups for all odd primes, Amer. J. Math. vol. 77 (1955) pp. 657-691. MR 0074411 (17:580b)
  • [8] L. Weisner, Groups in which the normaliser of every element except the identity is abelian, Bull. Amer. Math. Soc. vol. 31 (1925) pp. 413-416. MR 1561078

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DOI: https://doi.org/10.1090/S0002-9939-1957-0086818-0
Article copyright: © Copyright 1957 American Mathematical Society

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