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Geometric and Topological Aspects of...

Thomas, Anne,

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Geometric and Topological Aspects of Coxeter Groups and Buildings

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometric and Topological Aspects of Coxeter Groups and Buildings/ Anne Thomas
Author:	Thomas, Anne,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2018,
Description:	1 online resource (160 pages)
Subject:	Groups & group theory -
Online resource:	https://doi.org/10.4171/189
Online resource:	https://www.ems-ph.org/img/books/thomas_mini.jpg
ISBN:	9783037196892

Geometric and Topological Aspects of Coxeter Groups and Buildings
Thomas, Anne,

Geometric and Topological Aspects of Coxeter Groups and Buildings[electronic resource] /Anne Thomas - Zuerich, Switzerland :European Mathematical Society Publishing House,2018 - 1 online resource (160 pages) - Zurich Lectures in Advanced Mathematics (ZLAM).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037196892

Standard No.: 10.4171/189doiSubjects--Topical Terms:

3480852
Groups & group theory

Geometric and Topological Aspects of Coxeter Groups and Buildings
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