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 |
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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 |

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