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| 摘要: |
| 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. |
| 关键词: 有限p-群 循环中心 辛空间 自同构群 |
| DOI： |
| 分类号:O152.3 |
| 基金项目:国家自然科学基金资助(11301150;11371124);河南省自然科学基金资助(142300410134;162300410066). |
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| A STUDY ON THE AUTOMORPHISM GROUP OF A CLASS OF A FINITE P-GROUP WITH A CYCLIC CENTER |
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WANG Yu-lei,LIU He-guo,WU Zuo-hui
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| Abstract: |
| 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. |
| Key words: finite p-group cyclic center symplectic space automorphism group |
