%0 Journal Article %T 一类中心循环的有限p-群的自同构群的研究<br>A STUDY ON THE AUTOMORPHISM GROUP OF A CLASS OF A FINITE P-GROUP WITH A CYCLIC CENTER %A 作者 %A 王玉雷 %A 刘合国 %A 吴佐慧 %J 数学杂志 %D 2016 %X 本文研究了一类中心循环的有限p-群G的自同构群.利用在G的导群上作用平凡的自同构以及环上的辛群和正交群,确定了G的自同构群的结构,这推广了Bornand的相应结果.<br>In this article, the automorphism group of a class of a finite p-group G with a cyclic center is researched. With the automorphisms which act trivially on the derived subgroup of G, symplectic group and orthogonal group over a ring, the structure of the automorphism group of G is determined, which generalizes the related results of Bornand %K 有限p-群 循环中心 辛空间 自同构群< %K br> %K finite p-group cyclic center symplectic space automorphism group %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20160618&flag=1