| 钱方生.有限群亏零p-块的存在性[J].数学年刊A辑,2009,30(4):575~578 |
| 有限群亏零p-块的存在性 |
| The Existence of p-Blocks of Defect 0 in a Finite Group |
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| DOI： |
| 中文关键词: p-可解群 特征标 亏零p-块 |
| 英文关键词:$p$-Solvable group, Character, $p$-Block of defect 0 |
| 基金项目:国家自然科学基金，北京市教委科技发展项目，黑龙江省教育厅科学技术研究面上项目(No.11531247)资助的项目 |
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| 中文摘要: |
| 对p-阶子群均共轭的群的亏零p-块的存在性给出了一些刻画.同时给出了偶阶群亏零p-块的存在性. |
| 英文摘要: |
| The author obtains some group theoretic conditions for the existence of $p$-blocks
with defect 0 in a group with all subgroups of order $p$ being conjugate. The existence of $p$-blocks with defect 0 of even
order groups is also studied. |
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