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Catalogue Information
Field name	Details
Title	Geometric and Topological Aspects of Coxeter Groups and Buildings ([EBook] /) / Anne Thomas
Author	Thomas, Anne
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2018
Physical Details	1 online resource (160 pages)
Series	Zurich Lectures in Advanced Mathematics (ZLAM)
ISBN	9783037196892
Summary Note	Coxeter groups are groups generated by reflections, and they appear throughout mathematics. Tits developed the general theory of Coxeter groups in order to develop the theory of buildings. Buildings have interrelated algebraic, combinatorial and geometric structures, and are powerful tools for understanding the groups which act on them. These notes focus on the geometry and topology of Coxeter groups and buildings, especially nonspherical cases. The emphasis is on geometric intuition, and there are many examples and illustrations. Part I describes Coxeter groups and their geometric realisations, particularly the Davis complex, and Part II gives a concise introduction to buildings. This book will be suitable for mathematics graduate students and researchers in geometric group theory, as well as algebra and combinatorics. The assumed background is basic group theory, including group actions, and basic algebraic topology, together with some knowledge of Riemannian geometry.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/189
See Also	https://www.ems-ph.org/img/books/thomas_mini.jpg
Links to Related Works	Subject References: Group Theory and Generalizations . Groups & group theory . Authors: author . Thomas, Anne . Series: Zurich Lectures in Advanced Mathematics (ZLAM) .

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Geometric and Topological Aspects of Coxeter Groups and Buildings

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