Titlebook: Buildings; Kenneth S. Brown Book 1989 Springer Science+Business Media New York 1989 DEX.Finite.Group theory.Microsoft Access.Scratch.cohom

Croching

书目名称Buildings影响因子(影响力)




书目名称Buildings影响因子(影响力)学科排名




书目名称Buildings网络公开度




书目名称Buildings网络公开度学科排名




书目名称Buildings被引频次




书目名称Buildings被引频次学科排名




书目名称Buildings年度引用




书目名称Buildings年度引用学科排名




书目名称Buildings读者反馈




书目名称Buildings读者反馈学科排名

传授知识

by teaching a graduate course on it at Cornell University in Spring 1987. This book is based on the not es from that course. The course started from scratch and proceeded at a leisurely pace. The book therefore does not get very far. Indeed, the definition of the term "building" doesn‘t even appear

RECUR

VICT

Criteria

Finite Reflection Groups,flections. In order to avoid technicalities in this introductory chapter, we confine our attention to . groups and we require our reflections to be with respect to . hyperplanes (i.e., hyperplanes passing through the origin). We will generalize this in Chapter VI, replacing “finite” by “discrete” an

nephritis

Abstract Reflection Groups,by a subset . consisting of elements of order 2. Define, as in Chapter I, a . to be a coset .(.′) with ω ∈ . and .′ ⊆ .. Now . ∑ = ∑(., .) to be the poset of special cosets, ordered by the opposite of the inclusion relation: . ≤. in ∑ if and only if . ⊇. as subsets of ., in which case we say that .

不能和解

使满足

Buildings, to motivate this definition. In particular, you will probably wonder how someone (namely, Tits) came up with these axioms. I will not attempt to answer this question now, but I will make some historical remarks in the next chapter (§V.4) which should make the definition seem less mysterious.

同时发生

Buildings and Groups,goes along with the theory of Coxeter complexes. In particular, we will discover a class of groups . for which we can construct an associated building Δ, on which . acts as a group of type-preserving simplicial automorphisms.

疾驰

Applications to Group Cohomology,chapter is a familiarity with the basic facts about group cohomology, as given for instance in [17]. I will also use some algebraic topology (fundamental group, covering spaces, homology theory of manifolds, etc.).