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| 摘要: |
| 本文研究了有限群亏零p-块的存在性.利用极大子群的性质，给出了有限群存在亏零p-块的充要条件.这些结论丰富了块论理论. |
| 关键词: 幂零群 亏零块 亏群 |
| DOI： |
| 分类号:O152.6 |
| 基金项目:黑龙江省自然科学基金资助项目（A201412）. |
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| THE EXISTENCE OF p-BLOCK OF DEFECT ZERO IN A FINITE GROUP |
|
QIAN Fang-sheng
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| Abstract: |
| In this paper, existence of p -blocks of defect zero in a finite group is investigated. By using the properties of maximal subgroups, necessary and sufficient conditions of the existence of p-blocks of defect zero in a finite group are given, which enrich the block theory. |
| Key words: nilpotent group block of defect 0 defect group |
