Research Article
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
- 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).
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).
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Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | August 19, 2018 |
| Published in Issue | Year 2018 Issue: 2 |
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