Research Article

Central Automorphism Groups for Semidirect Product of p-Groups

Number: 2 August 19, 2018
  • Ozge Oztekın
  • Zeynep Gurbuz
EN

Central Automorphism Groups for Semidirect Product of p-Groups

Abstract

Let ℤp²⋊ϕℤp be the semi-direct product of ℤp² and ℤp with respect to ϕ, (ϕ is homomorphism from ℤp to automorphisms group of ℤp²). In this work, the group AutC(ℤ3²⋊ϕℤ₃) of all central automorphisms of ℤ3²⋊ϕℤ₃ is studied and we determine the form of central automorphisms of ℤ3²⋊ϕℤ3 . 

Keywords

References

  1. J. E. AdneyT.Yen, Automorphisms of p-groups, Illinois J. Math. 9(1965), 137-143. A. R. Jamali and H. Mousavi, On the central automorphism group of finite p-groups, Algebra Coolog. 9(1) (2002), 7-14. G. Saeden Stahl, J. Laine, G. Behm, On p-groups of low power order, Master Thesis, KTH, (2010).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Ozge Oztekın This is me

Zeynep Gurbuz This is me

Publication Date

August 19, 2018

Submission Date

May 9, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 2

APA
Oztekın, O., & Gurbuz, Z. (2018). Central Automorphism Groups for Semidirect Product of p-Groups. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 2, 288-289. https://izlik.org/JA28FU82RH
AMA
1.Oztekın O, Gurbuz Z. Central Automorphism Groups for Semidirect Product of p-Groups. EPSTEM. 2018;(2):288-289. https://izlik.org/JA28FU82RH
Chicago
Oztekın, Ozge, and Zeynep Gurbuz. 2018. “Central Automorphism Groups for Semidirect Product of P-Groups”. The Eurasia Proceedings of Science Technology Engineering and Mathematics, nos. 2: 288-89. https://izlik.org/JA28FU82RH.
EndNote
Oztekın O, Gurbuz Z (August 19, 2018) Central Automorphism Groups for Semidirect Product of p-Groups. The Eurasia Proceedings of Science Technology Engineering and Mathematics 2 288–289.
IEEE
[1]O. Oztekın and Z. Gurbuz, “Central Automorphism Groups for Semidirect Product of p-Groups”, EPSTEM, no. 2, pp. 288–289, Aug. 2018, [Online]. Available: https://izlik.org/JA28FU82RH
ISNAD
Oztekın, Ozge - Gurbuz, Zeynep. “Central Automorphism Groups for Semidirect Product of P-Groups”. The Eurasia Proceedings of Science Technology Engineering and Mathematics. 2 (August 19, 2018): 288-289. https://izlik.org/JA28FU82RH.
JAMA
1.Oztekın O, Gurbuz Z. Central Automorphism Groups for Semidirect Product of p-Groups. EPSTEM. 2018;:288–289.
MLA
Oztekın, Ozge, and Zeynep Gurbuz. “Central Automorphism Groups for Semidirect Product of P-Groups”. The Eurasia Proceedings of Science Technology Engineering and Mathematics, no. 2, Aug. 2018, pp. 288-9, https://izlik.org/JA28FU82RH.
Vancouver
1.Ozge Oztekın, Zeynep Gurbuz. Central Automorphism Groups for Semidirect Product of p-Groups. EPSTEM [Internet]. 2018 Aug. 19;(2):288-9. Available from: https://izlik.org/JA28FU82RH