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Specific automorphisms on a 2-generated p-group of class two

Sarmin, N. H. and Barakat, Y. (2013) Specific automorphisms on a 2-generated p-group of class two. In: AIP Conference Proceedings.

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Official URL: http://dx.doi.org/10.1063/1.4823871

Abstract

Let G be a finite two generated p-group of nilpotency class two, where p is a prime number. If φ(G) is the Frattini subgroup of G, then G/φ(G) is a vector space of dimension two over the field Z/pZ. In this paper, we determine those automorphisms on G which induce identity transformation on G/φ(G). We use the most updated classification given for G to find these automorphisms. The results of this study are applicable in classifying Aut(G), the automorphism group of G.

Item Type:Conference or Workshop Item (Paper)
Subjects:Q Science > QA Mathematics
ID Code:51313
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 01:53
Last Modified:18 Sep 2017 01:14

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