175
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

On Groups with Given Same-Order Types

Pages 2140-2150 | Received 02 Jul 2010, Published online: 15 Jun 2012

REFERENCES

  • Dixon , J.D. , Mortimer , B. ( 1997 ). Permutation Groups. Springer-Verlag .
  • Frobenius , G. ( 1895 ). Verallgemeinerung des Sylowschen Satze. Berliner Sitz. 981–993 .
  • Isaacs , I. M. ( 1976 ). Character Theory of Finite Group . New York , San Francisco, London : Acdemic Prees .
  • Itô , N. ( 1953 ). On finite groups with given conjugate types I . Nagoya Math. J. 6 : 17 – 28 .
  • Itô , N. ( 1970 ). On finite groups with given conjugate types II . Osaka J. Math. 7 : 231 – 251 .
  • Itô , N. ( 1970 ). On finite groups with given conjugate types III . Mathematische Zeitschrift 117 : 267 – 271 .
  • Mazurov , V. D. , Khukhro , E. I. ( 2006 ). Unsolved Problems in Group Theory . The Kourovka Notebook , 16 ed., Novosibirsk : Inst. Mat. Sibirsk. Otdel. Akad .
  • Shen , R. , Shao , C. , Jiang , Q. , Shi , W. , Mazurov , V. D. ( 2010 ). A new characterization A 5 . Monatshefte für Mathematik 160 : 337 – 341 .
  • Shen , R. , Shi , W. ( 2010 ). On Thompson problem (in Chinese) . Sci. Sin. Math. 40 ( 6 ): 533 – 537 .
  • The GAP Group, GAP-Groups. (2008). Algorithms and Programming. Vers.4.4.12. http://www.gap-system.org/
  • Thomas , A. D. , Wood , G. V. ( 1980 ). Group Table . Great Britain : Shiva Publishing Limited .
  • Hungerford , T. W. ( 1980 ). Algebra . New York , Heidelberg, Berlin : Springer-Verlag .
  • Weisner , L. ( 1925 ). On the number of elements of a group which have a power in a given conjugate set . Bull. Amer. Math. Soc. 31 : 492 – 496 .
  • Williams , J. S. ( 1981 ). Prime graph components of finite groups . J. Algebra 69 : 487 – 513 .
  • Xu , M. ( 1996 ). The same order typical groups (in Chinese) . Natural Science J. Hannan University 14 ( 2 ): 103 – 105 .
  • Communicated by J. Zhang.

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:

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:

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.