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Coset posets of infinite groups
Journal of Group Theory ( IF 0.5 ) Pub Date : 2020-03-10 , DOI: 10.1515/jgth-2019-0162
Kai-Uwe Bux 1 , Cora Welsch 2
Affiliation  

Abstract We consider the coset poset associated with the families of proper subgroups, proper subgroups of finite index and proper normal subgroups of finite index. We investigate under which conditions those coset posets have contractible geometric realizations.

中文翻译:

无穷群的陪集偏序

摘要 我们考虑与真子群族、有限指数真子群和有限指数真正规子群相关的陪集偏集。我们研究在哪些条件下这些陪集偏序具有可收缩的几何实现。
更新日期:2020-03-10
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