Advanced search
Publication Cover
Communications in Algebra Volume 39, 2011 - Issue 10
Submit an article Journal homepage
166
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

On ℱ-Quasinormal Primary Subgroups of Finite Groups

Long Miao School of Mathematical Sciences, Yangzhou University, Yangzhou, ChinaCorrespondence[email protected]
&
Baojun Li School of Mathematics, Chengdu University of Information Technology, Chengdu, China
Pages 3515-3525 | Received 08 May 2010, Published online: 14 Oct 2011

REFERENCES

  • Doerk , K. , Hawkes , T. ( 1992 ). Finite Soluble Groups . Berlin/New York : Walter de Gruyter .
  • Gross , F. ( 1987 ). Conjugacy of odd order Hall subgroups . Bull. London Math. Soc. 19 : 311 – 319 .
  • Guo , W. ( 2000 ). The Theory of Classes of Groups . Beijing-New York-Dordrecht-Boston-London : Science Press-Kluwer Academic Publishers .
  • Guo , W. , Skiba , A. N. , Shum , K. P. ( 2007 ). X-quasinormal subgroups . Siberian Math. J. 48 : 593 – 605 .
  • Guo , W. ( 2008 ). On ℱ-supplemented subgroups of finite groups . Manuscripta Math. 127 : 139 – 150 .
  • Guo , W. , Skiba , A. N. ( 2009 ). Finite groups with given s-embedded and n-embedded subgroups . J. Algebra 321 : 2843 – 2860 .
  • Huppert , B. ( 1967 ). Endliche Gruppen I . Berlin, Heidelberg, New York : Springer-Verlag .
  • Huppert , B. , Blackburn , N. ( 1982 ). Finite Groups III . Berlin, New York : Springer-Verlag .
  • Ito , N. , Szp , J. ( 1962 ). Uber die Quasinormalteiler von endlichen Gruppen . Act. Sci. Math. 23 : 168 – 170 .
  • Kegel , O. H. ( 1962 ). Sylow-Gruppen and Subnormalteiler endlicher Gruppen . Math. Z. 78 : 205 – 221 .
  • Maier , R. , Schmid , P. ( 1973 ). The embedding of permutable subgroups in finite groups . Math. Z 131 : 269 – 272 .
  • Miao , L. , Lempken , W. ( 2009 ). On ℳ-supplemented subgroups of finite groups . J. Group Theory 12 ( 2 ): 271 – 287 .
  • Ore , O. ( 1939 ). Contributions in the theory of groups of finite order . Duke Math. J. 5 : 431 – 460 .
  • Skiba , A. N. , Titov , O. V. ( 2007 ). Finite groups with c-quasinormal subgroups . Siberian Math. J. 48 ( 3 ): 544 – 554 .
  • Schmid , P. ( 1998 ). Subgroups permutable with all Sylow subgroups . J. Algebra 207 : 285 – 293 .
  • Srinivasan , S. ( 1980 ). Two sufficient conditions for supersolvability of finite groups . Israel J. Math. 35 ( 3 ): 210 – 214 .
  • Stonehewer , S. E. ( 1972 ). Permutable subgroups in infinite groups . Math. Z. 125 : 1 – 16 .
  • Wang , Y. ( 2000 ). Finite groups with some subgroups of Sylow subgroups c-supplemented . J. Algebra 224 : 467 – 478 .
  • Wang , Y. , Wei , H. , Li , Y. ( 2002 ). A generalization of Kramer's theorem and its applications . Bull. Austral. Math. Soc. 65 : 467 – 475 .
  • Communicated by V. A. Artamonov.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.