Orders of Automorphism Groups of Some p-Groups |
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Authors: | SU Hong ZHAO Zhen-hua XIAO Zhi-xiang QIU Dun-yuan |
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Affiliation: | 1. School of Mathematics, Chongqing Institute of Technology, Chongqing 400050, China 2. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China |
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Abstract: | The orders of automorphism groups of the groups of order p6 in the twelve family φ12 are produced, where p is an odd prime. Every group is analysed by utilizing the properties of metabelian, regularity and p-commutativity of finite p-groups, and the structure of the generators of its automorphism groups is obtained. Then the orders of automorphism groups are determined through some properties of equivalence in number theory. |
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Keywords: | Finite group Order Definite relation Automorphism group |
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