عنوان

Geometric and topological aspects of Coxeter groups and buildings /

3037196890

9783037196892

9783037191897

Geometric and topological aspects of Coxeter groups and buildings /

[Book]

Anne Thomas.

Zürich, Switzerland :

European Mathematical Society,

[2018]

1 online resource :

illustrations (some color)

Zurich lectures in advanced mathematics

Includes bibliographical references and index.

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.

Coxeter groups.

Coxeter groups.

Group theory and generalizations.

Groups & group theory.

MATHEMATICS-- Essays.

MATHEMATICS-- Pre-Calculus.

MATHEMATICS-- Reference.

MAT-- 023000

MAT-- 026000

MAT-- 039000

Thomas, Anne

20200823094814.0

pn

[Book]

Y