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Archiv der Mathematik

, Volume 77, Issue 4, pp 289–293 | Cite as

On automorphisms of a class of special p-groups

  • A. Rahnamai Barghi
  • M. Mofidy Ahmedy
  • 76 Downloads

Abstract.

Let G be a finite group of order n, for some \( n\geqq 1 \) , and p be an odd prime number. In [5] Verardi has constructed a special p-group \( P_G \) of exponent p such that \( |P_G|=p^{3n} \). In this paper, we calculate the order of Aut\( (P_G) \) and prove that Aut\( (P_G) \) is the semidirect product of two subgroups.

Keywords

Finite Group Prime Number Semidirect Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 2001

Authors and Affiliations

  • A. Rahnamai Barghi
    • 1
  • M. Mofidy Ahmedy
    • 1
  1. 1.Institute for Advanced Studies in Basic Sciences, P.O. Box: 45195-159, Zanjan, Iran, rahnama@iasbs.ac.ir and Islamic Azad University of Zanjan, P.O. Box: 49195/467, Zanjan, IranIR

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