| 书目名称 | Infinite Group Actions on Polyhedra | | 编辑 | Michael W. Davis | | 视频video | | | 概述 | Covers the general theory of nonpositively curved cube complexes and special cube complexes of Haglund and Wise.Provides a unified treatment of general Coxeter groups, Artin groups and buildings.Descr | | 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati | | 图书封面 |  | | 描述 | In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory.. .Structured around the theme of group actions on contractible polyhedra, this book explores two prominent methods for constructing such actions: utilizing the group of deck transformations of the universal cover of a nonpositively curved polyhedron and leveraging the theory of simple complexes of groups. The book presents various approaches to obtaining cubical examples through CAT(0) cube complexes, including the polyhedral product construction, hyperbolization procedures, and the Sageev construction. Moreover, it offers a unified presentation of important non-cubical examples, such as Coxeter groups, Artin groups, and groups that act on buildings.. .Designed as a resource for graduate students and researchers specializing in geometric group theory, this book should also be of high interest to mathematicians in related areas, such as 3-manifolds.. | | 出版日期 | Book 2024 | | 关键词 | nonpositively curved polyhedra; cube complexes; CAT (0) cube complex; polyhedral products; simple comple | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-48443-8 | | isbn_ebook | 978-3-031-48443-8Series ISSN 0071-1136 Series E-ISSN 2197-5655 | | issn_series | 0071-1136 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:10:30
