| 有限群稳定模范畴的Bousfield等价 |
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| 引用本文： | 黄文林.有限群稳定模范畴的Bousfield等价[J].吉林大学学报(理学版),2018,56(1):47-52. |
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| 作者姓名： | 黄文林 |
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| 作者单位： | 中国人民大学 信息学院, 北京 100872 |
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| 摘 要： | 考虑有限群稳定模范畴的Bousfield等价关系, 证明了若H是G的强p 嵌入子群, 则两个有限生成不可分解kG 模(kH 模)是Bousfield等价的当且仅当其Green对应是Bousfield等价的, 且Green对应诱导了Stmod(kG)的全体Bousfield等价类与Stmod(kH)的全体Bousfield等价类之间的一一对应.
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| 关 键 词： | 强p-嵌入子群 Bousfield等价 Bousfield类 稳定模范畴 |
| 收稿时间： | 2017-07-21 |
Bousfield Equivalence of Stable Module Category for Finite Group |
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| HUANG Wenlin.Bousfield Equivalence of Stable Module Category for Finite Group[J].Journal of Jilin University: Sci Ed,2018,56(1):47-52. |
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| Authors: | HUANG Wenlin |
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| Institution: | School of Information, Renmin University of China, Beijing 100872, China |
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| Abstract: | The author considered the Bousfield equivalence relationship of the stable module category for a finite group, and proved that, if H was a strongly p embedded subgroup of G, then two finitely generated indecomposable kG modules(kH modules) were Bousfield equivalent if and only if their Green correspondents were Bousfield equivalent, in addition, Green correspondence induced a one to one correspondence between Bousfield equivalence classes of Stmod(kG) and those of Stmod(kH). |
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| Keywords: | stable module category strongly p-embedded subgroup Bousfield class Bousfield equivalence |
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