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

Croching

書目名稱Buildings影響因子(影響力)




書目名稱Buildings影響因子(影響力)學(xué)科排名




書目名稱Buildings網(wǎng)絡(luò)公開度




書目名稱Buildings網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Buildings被引頻次




書目名稱Buildings被引頻次學(xué)科排名




書目名稱Buildings年度引用




書目名稱Buildings年度引用學(xué)科排名




書目名稱Buildings讀者反饋




書目名稱Buildings讀者反饋學(xué)科排名

傳授知識(shí)

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?jié)M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.

同時(shí)發(fā)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.

疾馳

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.).