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Central Automorphism Groups for Semidirect Product of p-Groups

Year 2018, Issue: 2, 288 - 289, 19.08.2018

Ozge Oztekın Zeynep Gurbuz

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

P-group Semi-direct product

References

  • 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).

Year 2018, Issue: 2, 288 - 289, 19.08.2018

Ozge Oztekın Zeynep Gurbuz

Abstract

References

  • 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).
There are 1 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ozge Oztekın

Zeynep Gurbuz

Publication Date August 19, 2018
Published in Issue Year 2018Issue: 2

Cite

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.
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