斯坦伯格后饱和聚变系统轨道空间的可收缩性

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-04-11 DOI:10.1016/j.jalgebra.2025.03.046

Omar Dennaoui, Jonathon Villareal

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引用次数: 0

摘要

最近，Steinberg利用离散Morse理论给出了Symonds关于有限群的非平凡p-子群的偏序集的轨道空间可缩并的新证明。我们以两种方式扩展斯坦伯格的论证，涵盖了已知的定理的更一般的版本。特别地，我们按照Libman的策略，给出了饱和聚变系统轨道空间可收缩性的离散莫尔斯理论论证。

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Contractibility of the orbit space of a saturated fusion system after Steinberg

Recently, Steinberg used discrete Morse theory to give a new proof of a theorem of Symonds that the orbit space of the poset of nontrivial p-subgroups of a finite group is contractible. We extend Steinberg's argument in two ways, covering more general versions of the theorem that were already known. In particular, following a strategy of Libman, we give a discrete Morse theoretic argument for the contractibility of the orbit space of a saturated fusion system.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.