Arbitrarily large O -Morita Frobenius numbers
Arbitrarily large O -Morita Frobenius numbers
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任意大的 O-Morita Frobenius 数
DOI：
10.1016/j.jalgebra.2021.08.019
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发表时间：
2021
影响因子：
0.9
通讯作者：
Livesey M
中科院分区：
文献类型：
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作者：
Livesey M
我们构造块的有限群任意大的O-森田Frobenius数。有没有已知的例子，两个块定义在O上，同构的缺陷群，这不是森田等价，但相应的块定义在k上。因此，上述强有力地表明森田·弗罗贝纽斯数也是无界的，这将回答本森和凯萨的一个问题。
We construct blocks of finite groups with arbitrarily large O-Morita Frobenius numbers. There are no known examples of two blocks defined over O, with isomorphic defect groups, that are not Morita equivalent but the corresponding blocks defined over k are. Therefore, the above strongly suggests that Morita Frobenius numbers are also unbounded, which would answer a question of Benson and Kessar.