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The Farrell–Jones conjecture for normally poly-free groups
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-03-23 , DOI: 10.1090/proc/15357 Benjamin Brück , Dawid Kielak , Xiaolei Wu
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-03-23 , DOI: 10.1090/proc/15357 Benjamin Brück , Dawid Kielak , Xiaolei Wu
Abstract:We prove the 
- and 
-theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular for even Artin groups of FC-type, and for all groups of the form 
where 
is a right-angled Artin group. Our proof relies on the work of Bestvina-Fujiwara-Wigglesworth on the Farrell-Jones Conjecture for free-by-cyclic groups.
中文翻译：
通常无聚群的Farrell-Jones猜想
摘要：我们证明了-而且在添加剂类别，每自由聚正常组系数-theoretic法雷尔-琼斯猜想，特别是即使阿廷FC型的群体，并为形式的所有群体，其中是右角阿丁组。我们的证明依赖于Farrell-Jones猜想的Bestvina-Fujiwara-Wigglesworth对自由循环群的研究。
更新日期：2021-04-22
- and -theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular for even Artin groups of FC-type, and for all groups of the form where is a right-angled Artin group. Our proof relies on the work of Bestvina-Fujiwara-Wigglesworth on the Farrell-Jones Conjecture for free-by-cyclic groups. 中文翻译：
通常无聚群的Farrell-Jones猜想
摘要：我们证明了
-而且在添加剂类别，每自由聚正常组系数-theoretic法雷尔-琼斯猜想，特别是即使阿廷FC型的群体，并为形式的所有群体，其中是右角阿丁组。我们的证明依赖于Farrell-Jones猜想的Bestvina-Fujiwara-Wigglesworth对自由循环群的研究。 
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