扭曲花环产品的子群

Groups St Andrews 2017 in Birmingham Pub Date : 2019-04-11 DOI:10.1017/9781108692397.020

P. Pálfy

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引用次数: 0

摘要

通过确定子直积在分量的正则置换群作用下的不变量，我们为扭曲环积的定义提供了一个自然动机。然后，基于R. Baddeley, a . Lucchini, F. B¨orner和M. aschbacher的论文，我们解释了扭曲环积如何在有限群的子群格中将有限格表示为区间的问题中发挥基本作用。

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Subgroups of Twisted Wreath Products

By determining subdirect products invariant under the action of a regular permutation group of the components we provide a natural motivation for the deﬁnition of twisted wreath products. Then—based on papers of R. Baddeley, A. Lucchini, F. B¨orner, and M. Aschbacher—we explain how twisted wreath products play a fundamental role in the problem of representing ﬁnite lattices as intervals in subgroup lattices of ﬁnite groups.

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Groups St Andrews 2017 in Birmingham

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