113
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Fitting Height of a Finite Group with a Metabelian Group of Automorphisms

Pages 4797-4808 | Received 02 May 2014, Published online: 21 Jul 2015

REFERENCES

  • Belyaev , V. V. , Hartley , B. ( 1996 ). Centralizers of finite nilpotent subgroup in locally finite groups . Algebra Logika 35 : 389 – 410 ; English transl., Algebra Logic 35:217–228 .
  • Dade , E. C. ( 1969 ). Carter subgroups and Fitting heights of finite solvable groups . Illinois J. Math. 13 : 449 – 514 .
  • Ercan , G. , Guloglu , I. , Ogut , E. ( 2014 ). Nilpotent length of a finite solvable group with a Frobenius group of automorphisms . Comm. Algebra 42 : 4751 – 4756 .
  • Ercan , G. , Guloglu , I. ( 2014 ). Action of a Frobenius-like group with fixed-point free kernel . J. Group Theory. 17 : 863 – 873 .
  • Gorenstein , D. ( 1968 ). Finite Groups . New York : Harper and Row .
  • Khukhro , E. I. ( 1993 ). Nilpotent Groups and their Automorphisms . Berlin : de Gruyter-Verlag .
  • Khukhro , E. I. ( 2011 ). Nilpotent length of a finite group admitting a Frobenius group of automorphisms with fixed-point-free kernel . Algebra and Logic 49 : 551 – 560 .
  • Khukhro , E. I. ( 2012 ). Fitting height of a finite group with a Frobenius group of automorphisms . J. Algebra 366 : 1 – 11 .
  • Khukhro , E. I. , Makarenko , N. Y. , Shumyatsky , P. ( 2014 ). Frobenius groups of automorphisms and their fixed points . Forum Math. 26 : 73 – 112 .
  • Khukhro , E. I. , Makarenko , N. Y. ( 2011 ). Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms . J. Algebra 386 : 77 – 104 .
  • Shumyatsky , P. ( 2013 ). The dihedral group as a group of automorphisms . J. Algebra 366 : 1 – 12 .
  • Thompson , J. G. ( 1959 ). Finite groups with fixed-point-free automorphisms of prime order . Proc. Natl. Acad. Sci. USA 45 : 578 – 581 .
  • Turull , A. ( 1984 ). Fitting height of groups and of fixed points . J. Algebra 86 : 555 – 566 .
  • Communicated by A. Turull.

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.