Leseprobe
* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
The Structure of Spherical Buildings
Richard M. Weiss
* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Sozialwissenschaften, Recht, Wirtschaft / Wirtschaft
Beschreibung
This book provides a clear and authoritative introduction to the theory of buildings, a topic of central importance to mathematicians interested in the geometric aspects of group theory. Its detailed presentation makes it suitable for graduate students as well as specialists. Richard Weiss begins with an introduction to Coxeter groups and goes on to present basic properties of arbitrary buildings before specializing to the spherical case. Buildings are described throughout in the language of graph theory.
The Structure of Spherical Buildings includes a reworking of the proof of Jacques Tits's Theorem 4.1.2. upon which Tits's classification of thick irreducible spherical buildings of rank at least three is based. In fact, this is the first book to include a proof of this famous result since its original publication. Theorem 4.1.2 is followed by a systematic study of the structure of spherical buildings and their automorphism groups based on the Moufang property. Moufang buildings of rank two were recently classified by Tits and Weiss. The last chapter provides an overview of the classification of spherical buildings, one that reflects these and other important developments.
Kundenbewertungen
Big O notation, Homomorphism, Existential quantification, Diameter, Explicit formulae (L-function), Finite set, Subset, Bijection, Free monoid, Theorem, Infimum and supremum, Normal subgroup, Group theory, Corollary, Simplicial complex, Disjoint sets, Sphere, Lie group, Diagram (category theory), Graph automorphism, Mathematics, Bipartite graph, Cardinality, Realizability, Simple group, Conjugacy class, Endomorphism, Equivalence class, Vector space, Additive group, System U, Automorphism, Edge coloring, Free group, Algebraic group, Direct product, Pointwise, Function composition, Tetrahedron, Weyl group, Permutation, Equivalence relation, Jacques Tits, Commutator, Incidence geometry, Complete bipartite graph, Special case, Calculation, Frattini subgroup, Monoid, Irreducibility (mathematics), Euclidean space, Nilpotent group, Finite group, Cayley graph, Homotopy, Coxeter group, Scientific notation, Convex set, Girth (graph theory), Empty set, Complete graph, Disjoint union, Subgroup, Mathematical induction, Polygon, Quotient group, Three-dimensional space (mathematics), Fundamental theorem, Sequence