| On π-Subpairs of π-Blocks |
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| 引用本文： | Jin Ke HAI Yi Xin ZHU. On π-Subpairs of π-Blocks[J]. 数学学报(英文版), 2006, 22(6): 1751-1756. DOI: 10.1007/s10114-005-0866-0 |
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| 作者姓名： | Jin Ke HAI Yi Xin ZHU |
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| 作者单位： | [1]Department of Mathematics, Qingdao University, Qingdao 266071, P. R. China [2]Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China |
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| 基金项目： | Supported by NSF of China （10471085） and by BSF of Shandong （03bs006）;Acknowledgements We are grateful to Prof. Fan Yun in Wuhan University and Prof. Zhang Jiping in Peking University for their valuable instructions. |
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| 摘 要： | Alperin and Broug have given the p-subpairs in a finite group, and proved that there is a Sylow theorem for p-subpairs. For a π-separable group with π-Hall subgroup nilpotent, we prove that there is a π-Sylow theorem for π-subpairs. Note that our π-subpairs are different from what Robinson and Staszewski gave.
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| 关 键 词： | π-可分群 缺陷群 群论 次对 |
| 收稿时间： | 2004-12-16 |
| 修稿时间： | 2004-12-162005-12-19 |
On π-Subpairs of π-Blocks |
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| Jin Ke Hai,Yi Xin Zhu. On π-Subpairs of π-Blocks[J]. Acta Mathematica Sinica(English Series), 2006, 22(6): 1751-1756. DOI: 10.1007/s10114-005-0866-0 |
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| Authors: | Jin Ke Hai Yi Xin Zhu |
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| Affiliation: | (1) Department of Mathematics, Qingdao University, Qingdao 266071, P. R. China;(2) Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China |
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| Abstract: | Alperin and Brouá have given the p-subpairs in a finite group, and proved that there is a Sylow theorem for p-subpairs. For a π-separable group with π-Hall subgroup nilpotent, we prove that there is a π-Sylow theorem for π-subpairs. Note that our π-subpairs are different from what Robinson and Staszewski gave. Supported by NSF of China (10471085) and by BSF of Shandong (03bs006) |
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| Keywords: | π -separable group defect group π -subpair |
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