Monomial Modules and Endo-Monomial Modules

Monomial Modules and Endo-Monomial Modules
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DOI:
10.1080/00927870701353795
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发表时间:
2007-09
影响因子:
0.7
通讯作者:
Ziqun Lu
Ziqun Lu
中科院分区:
数学3区
文献类型:
--
作者:
Ziqun Lu

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我们确定了p-单项模的重数代数和重数模。对于一般p-群P,我们得到了内单性P-模是内置换P-模的一个充要条件,并证明了帽不可分解内单性P-模是p ′-秩的.最后给出了广义Dade P-群的另一种定义。
We determine the multiplicity algebras and multiplicity modules of a p-monomial module. For a general p-group P, we find a sufficient and necessary condition for an endo-monomial P-module to be an endo-permutation P-module, and prove that a capped indecomposable endo-monomial P-module is of p ′-rank. At last, we give an alternative definition of the generalized Dade P-group.