Email this article On Commuting Automorphisms of Finite p-Groups with a Metacyclic Quotient
- Authors: Garg R.1
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Affiliations:
- Govt. Ripudaman College
- Issue: Vol 106, No 1-2 (2019)
- Pages: 296-298
- Section: Short Communications
- URL: https://journals.rcsi.science/0001-4346/article/view/151830
- DOI: https://doi.org/10.1134/S0001434619070320
- ID: 151830
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Abstract
Let G be a finite non-Abelian p-group, where p is an odd prime, such that G/Z(G) is metacyclic. We prove that all commuting automorphisms of G form a subgroup of Aut(G) if and only if G is of nilpotence class 2.
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About the authors
R. Garg
Govt. Ripudaman College
Author for correspondence.
Email: rohitgarg289@gmail.com
India, Nabha, 147 201
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