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

Geometric and Topological Aspects of Coxeter Groups and Buildings

(Autor)

Buch | Softcover
160 Seiten
2018
EMS Press (Verlag)
978-3-03719-189-7 (ISBN)
CHF 47,60 inkl. MwSt
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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.
Erscheinungsdatum
Reihe/Serie Zurich Lectures in Advanced Mathematics
Sprache englisch
Maße 170 x 240 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Graphentheorie
Schlagworte buildings • Coxeter groups • Davis complexes
ISBN-10 3-03719-189-9 / 3037191899
ISBN-13 978-3-03719-189-7 / 9783037191897
Zustand Neuware
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