Ukrainian Mathematical Journal

, Volume 27, Issue 3, pp 264–269 | Cite as

Solvable nondispersive groups with finite Sylow subgroups whose orders are divisible by at most the cube of a prime

  • N. F. Kuzennyi
  • S. S. Levishchenko


Sylow Subgroup 
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Literature cited

  1. 1.
    S. N. Chernikov, “On groups with a Sylow set,” Matem. Sb.,8 (50), No. 3 (1940).Google Scholar
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    D. K. Faddeev, “On the structure of groups of order pnq,” Dokl. Akad. Nauk SSSR,58, No. 4 (1947).Google Scholar
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    L. A. Shemetkov, “On finite solvable groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 3 (1968).Google Scholar
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    S. N. Chernikov and S. S. Levishchenko, “On finite nonprimary groups in which all proper subgroups of nonprimary index are Abelian,” in: Eleventh All-Union Algebra Colloquium (Abstracts of Reports, Book 1) [in Russian], Sverdlovsk (1973).Google Scholar
  5. 5.
    M. F. Kuzennii, “On certain relations in the holomorphs of groups of orders p2 and p3,” Dopovidi Akad. Nauk URSR, Ser. A, No. 12 (1973).Google Scholar
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    R. Baer, “Lokal endlich-auflösbare Gruppen mit endlichen Sylowuntergruppen,” J. fur die reine und angewandte Math., Nos. 239, 240, 109–144 (1969).Google Scholar
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    M. Hall, The Theory of Groups, Macmillan, New York (1959).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • N. F. Kuzennyi
    • 1
    • 2
  • S. S. Levishchenko
    • 1
    • 2
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRUkraine
  2. 2.Kiev Pedagogical InstituteUSSR

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