Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems
Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems
复制标题
小特征中交替群表示的不可约限制：约简定理
DOI：
10.1090/ert/538
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Tiep, Pham Huu
中科院分区：
文献类型：
--
作者：
Kleshchev, Alexander;Morotti, Lucia;Tiep, Pham Huu
我们研究了从模块对交替群到适当子群的不可约限制，并证明了约简结果，该结果极大地限制了子群和模块的类别，这是可能的。当地场特征大于时，这个问题已经解决，但小特征情况需要更精细的分析和新的想法。这项工作符合有限经典群的最大子群的 Aschbacher-Scott 纲领。参考
We study irreducible restrictions from modules over alternating groups to proper subgroups, and prove reduction results which substantially restrict the classes of subgroups and modules for which this is possible. This problem had been solved when the characteristic of the ground field is greater than, but the small characteristics cases require a substantially more delicate analysis and new ideas. This work fits into the Aschbacher-Scott program on maximal subgroups of finite classical groups. References