Universiti Teknologi Malaysia Institutional Repository

Automorphism group of nonabelian groups of order p3

Sarmin, Nor Haniza and Barakat, Yasamin (2014) Automorphism group of nonabelian groups of order p3. AIP Conference Proceedings, 1602 . pp. 640-643. ISSN 0094-243X

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1063/1.4882552

Abstract

Let G be a nonabelian group of order p3, where p is a prime number. Then G is a two generated group that its commutator, centre and Frattini subgroup coincide and are of order p. Hence, the quotient group of G over its centre and also Frattini quotient group of G, both are of order p2. However, the first mentioned quotient is isomorphic to the inner group of G, which is a normal subgroup of automorphism group of G. Whereas, Frattini quotient group of G is an abelian elementary group that can be considered as a vector space of dimension two over Zp, the field of integers modulo p. In this paper, we consider to apply these properties of G to characterize the automorphism group of G.

Item Type:Article
Uncontrolled Keywords:automorphism, nilpotency of class 2, p-group, two generated
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:51970
Deposited By: Siti Nor Hashidah Zakaria
Deposited On:01 Feb 2016 03:53
Last Modified:30 Nov 2018 06:57

Repository Staff Only: item control page