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

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樓主: Croching
11#
發(fā)表于 2025-3-23 13:07:04 | 只看該作者
https://doi.org/10.1007/978-3-540-79737-1flections. 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” and “l(fā)inear” by “affine”.
12#
發(fā)表于 2025-3-23 16:46:48 | 只看該作者
13#
發(fā)表于 2025-3-23 19:39:17 | 只看該作者
Mathematik für Naturwissenschaftler II. Following Tits, we will call ∑ the . associated to (.,.). The word “complex” will be justified below, when we prove that ∑ is indeed a simplicial complex. The purpose of this chapter is to develop the geometric properties of Coxeter complexes.
14#
發(fā)表于 2025-3-23 22:15:19 | 只看該作者
Differential- und Integralrechnung, 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.
15#
發(fā)表于 2025-3-24 05:27:30 | 只看該作者
16#
發(fā)表于 2025-3-24 08:18:40 | 只看該作者
Mathematik für Naturwissenschaftlerchapter 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.).
17#
發(fā)表于 2025-3-24 13:01:01 | 只看該作者
18#
發(fā)表于 2025-3-24 17:15:29 | 只看該作者
19#
發(fā)表于 2025-3-24 19:54:46 | 只看該作者
https://doi.org/10.1007/978-3-540-79737-1flections. 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
20#
發(fā)表于 2025-3-25 00:43:23 | 只看該作者
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