Buch, Englisch, 160 Seiten, Format (B × H): 170 mm x 240 mm
Buch, Englisch, 160 Seiten, Format (B × H): 170 mm x 240 mm
Reihe: Zurich Lectures in Advanced Mathematics
ISBN: 978-3-03719-189-7
Verlag: EMS Press
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.
Zielgruppe
Mathematics graduate students and researchers in geometric group theory, algebra and combinatorics.
