TY - BOOK ID - 91489177 TI - Geometric and topological aspects of coxeter groups and buildings PY - 2018 SN - 3037191899 9783037191897 9783037196892 PB - Zürich : European Mathematical Society, DB - UniCat KW - Coxeter groups. KW - Geometric group theory. KW - Coxeter's groups KW - Real reflection groups KW - Reflection groups, Real KW - Group theory KW - Geometric group theory KW - Coxeter groups UR - https://www.unicat.be/uniCat?func=search&query=sysid:91489177 AB - 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. ER -