Pointed groups and construction of modules

Pointed groups and construction of modules
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DOI:
10.1016/0021-8693(88)90195-0
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发表时间:
1988-07
期刊:
影响因子:
0.9
通讯作者:
L. Puig
L. Puig
中科院分区:
数学3区
文献类型:
--
作者:
L. Puig

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内容. 1.导论. 2.一般符号、术语和引用的结果。3.关于残余的绿色家族。4.关于群扩展的辅助结果。5.关于A*-群的一般性6.与点p-群相关的,&*-群。7.分解模块。8. Brauer第二主要定理在虚模上的推广。9.简单代数情形:关于剩余绿色环的结构。10.关于与一对点p-群相关联的/*-群。11.康帕?分解模块之间的关系。12.多重残基之间的关系。13.构建虚拟模块。14.群代数的例子。15.绿色环上一个双线性型的局部公式。符号列表。
Contents. 1. Introduction. 2. General notation, terminology, and quoted results. 3. On the residual Green family. 4. Auxiliary results on group extensions. 5. Generalities on A*-groups. 6. The, &*-groups associated with pointed p-groups. 7. The decomposition modules. 8. Generalization of Brauer’s second main theorem to virtual modules. 9. The simple algebra case: On the structure of residual Green rings. 10. On the/*-group associated with a pair of pointed p-groups. 11. Compa? ibility relations between decomposition modules. 12. Relationship between multiplicity residues. 13. Construction of virtual modules. 14. The group algebra case. 15. Local formula for a bilinear form on the Green ring. List of symbols.