一类不能作为自同构群的有限群

班桂宁;俞曙霞

数学学报 ›› 1996, Vol. 39 ›› Issue (6)

PDF(338 KB)
PDF(338 KB)
数学学报 ›› 1996, Vol. 39 ›› Issue (6) DOI: 10.12386/A1996sxxb0110
论文

一类不能作为自同构群的有限群

    班桂宁;俞曙霞
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The Finite Groups Which Are Rarely Automorphism Groups

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摘要

本文证明了阶小于p9的有限交换p-群不能作为有限群的自同构群,从而推进了MacHale的结果.

Abstract

In this paper,we will show that the Abelian p-groups of order less than p9 cannot occurs as the full automorphisms groups of a finite group. This result also extends MacHale's result in 1983.

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交换群 / p-群 / 定义关系 / 自同构 / 有限群

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班桂宁;俞曙霞. 一类不能作为自同构群的有限群. 数学学报, 1996, 39(6) https://doi.org/10.12386/A1996sxxb0110
The Finite Groups Which Are Rarely Automorphism Groups. Acta Mathematica Sinica, Chinese Series, 1996, 39(6) https://doi.org/10.12386/A1996sxxb0110
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