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Communications in Algebra Volume 40, 2012 - Issue 9
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Original Articles

On ℋC-Subgroups and the Structure of Finite Groups

Xianbiao Wei Department of Mathematics & Physics, Anhui Institute of Architecture & Industry, Hefei, P. R. China; Department of Mathematics, Shanghai University, Shanghai, P. R. China
&
Xiuyun Guo Department of Mathematics, Shanghai University, Shanghai, P. R. ChinaCorrespondence[email protected]
Pages 3245-3256 | Received 06 Jul 2010, Published online: 27 Sep 2012

REFERENCES

  • Asaad , M. ( 2006 ). On p-nilpotence and supersolvability of finite groups . Comm. Algebra 34 : 189 – 195 .
  • Bianchi , M. , Gillio , A. Mauri , V., Herzog , M. , Veradi , L. ( 2000 ). On finite sovlable groups in which normality is transitive relation . J. Group Theory 3 : 147 – 156 .
  • Buckley , J. ( 1970 ). Finite groups whose minimal subgroups are normal . Math. Z. 116 : 15 – 17 .
  • Csörgö , P. , Herzog , M. ( 2004 ). On supersolvble groups and the nilpotator . Comm. Algebra 32 ( 2 ): 609 – 620 .
  • Doerk , K. ( 1966 ). Minimal nicht überauflösbare endliche Gruppen . Math. Z. 91 : 198 – 205 .
  • Guo , X. , Shum , K. P. ( 2003 ). On c-normal maximal and minimal subgroups of Sylow p-subgroups of finite groups . Arch. Math. 80 : 561 – 569 .
  • Huppert , B. ( 1967 ). Endliche Gruppen I . New York : Springer-Verlag .
  • Huppert , B. , Blackburn , N. ( 1982 ). Endliche Gruppen III . Berlin , New York : Springer-Verlag .
  • Li , D. , Guo , X. ( 1998 ). The influence of c-normality of subgroups on the structure of finite groups(II) . Comm. Algebra 26 ( 6 ): 1913 – 1922 .
  • Li , D. , Guo , X. ( 2000 ). The influence of c-normality of subgroups on the structure of finite groups . J. Pure Appl. Algebra 150 : 53 – 60 .
  • Srinivasan , S. ( 1980 ). Two sufficient conditions for supersovability of finite groups . Israel J. Math. 35 ( 3 ): 210 – 214 .
  • Wang , Y. ( 1996 ). C-normality of groups and its properties . J. Algebra 78 : 101 – 108 .
  • Wei , H. ( 2001 ). On c-normal maximal and minimal subgroups of Sylow subgroups of finite groups . Comm. Algebra 29 ( 5 ): 2193 – 2200 .
  • Wei , H. , Wang , Y. , Li , Y. ( 2003 ). On c-normal maximal and minimal subgroups of Sylow subgroups of finite groups (II) . Comm. Algebra 31 ( 10 ): 4807 – 4816 .
  • Weinstein , M. , ed. ( 1982 ). Between Nilpotent and Solvable . Passaic , NJ, USA : Polygonal Publishing House .
  • Communicated by T. Lenagan.

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