Endo-monomial modules over p-groups and their classification in the abelian case

Endo-monomial modules over p-groups and their classification in the abelian case
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DOI:
10.1016/j.jalgebra.2003.10.030
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发表时间:
2004-04
期刊:
影响因子:
0.9
通讯作者:
R. Hartmann
R. Hartmann
中科院分区:
数学3区
文献类型:
--
作者:
R. Hartmann

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引入了内单项式模类,推广了内置换模。它们可以通过确定单项式Dade群来分类,并且对于交换p-群,证明了这个群同构于内置换模的普通Dade群。
The class of endo-monomial modules is introduced, generalizing endo-permutation modules. They can be classified by determining the monomial Dade group, and for abelian p-groups, this group is proven to be isomorphic to the ordinary Dade group of endo-permutation modules.