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Original Articles

A Classification of Minimal Non-MNP-Groups

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Pages 1601-1607 | Received 02 Apr 2011, Published online: 09 May 2013

REFERENCES

  • Agrawal , R. K. ( 1975 ). Finite groups whose subnormal subgroups permute with all Sylow subgroups . Proc. Amer. Math. Soc. 47 ( 1 ): 77 – 83 .
  • Asaad , M. ( 2009 ). On minimal subgroups of finite groups . Glasgow Math. J. 51 : 359 – 366 .
  • Ballester-Bolinches , A. , Esteban-Romero , R. ( 2007 ). On minimal non-supersoluble groups . Rev. Mat. Iberoamericana 23 ( 1 ): 127 – 142 .
  • Ballester-Bolinches , A. , Esteban-Romero , R. , Robinson , D. J. S. ( 2005 ). On finite minimal non-nilpotent groups . Proc. Amer. Math. Soc. 133 ( 12 ): 3455 – 3462 .
  • Doerk , K. ( 1966 ). Minimal nicht überauflösbare, endliche Gruppen . Math. Z. 91 : 198 – 205 .
  • Guo , P. F. , Guo , X. Y. ( 2011 ). On minimal non-MSN-groups . Front. Math. China 6 ( 5 ): 847 – 854 .
  • Huppert , B. ( 1961 ). Zur sylowstruktur auflösbarer gruppen . Arch. Math. 12 : 161 – 169 .
  • Li , S. R. ( 1998 ). On minimal non-PE-groups . J. Pure Appl. Algebra 132 ( 2 ): 149 – 158 .
  • Robinson , D. J. S. ( 1980 ). A Course in the Theory of Groups . New York–Heidelberg–Berlin : Springer-Verlag .
  • Robinson , D. J. S. ( 2002 ). Minimality and Sylow-permutability in locally finite groups . Ukrainian Math. J. 54 ( 6 ): 1038 – 1048 .
  • Sastry , N. S. N. ( 1980 ). On minimal nonPN-groups . J. Algebra 65 : 104 – 109 .
  • Schmidt , O. J. ( 1924 ). Über Gruppen, deren sämtliche Teiler spezielle Gruppen sind . Mat. Sbornik 31 : 366 – 372 .
  • Shen , Z. C. , Liu W., Kong X. H. ( 2010 ). Finite groups with self-conjugate-permutable subgroups . Comm. Algebra 38 : 1715 – 1724 .
  • Srinivasan , S. ( 1980 ). Two sufficient conditions for supersolvability of finite groups . Israel J. Math. 35 : 210 – 214 .
  • Thompson , J. G. ( 1968 ). Nonsolvable finite groups all of whose local subgroups are solvable . Bull. Amer. Math. Soc. 74 : 383 – 437 .
  • Walls , G. L. ( 1982 ). Groups with maximal subgroups of Sylow subgroups normal . Israel J. Math. 43 : 166 – 168 .
  • Xu , M. Y. , Zhang , Q. H. ( 2005 ). On conjugate-permutable subgroups of a finite group . Alg. Colloq. 12 : 669 – 676 .
  • Zhong , X. G. , Li , S. R. ( 2010 ). Finite groups whose second maximal subgroups are ℋ-QC-subgroups . Comm. Algebra 37 : 2121 – 2126 .
  • Communicated by A. Olshanskii.

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