远地点 发表于 2025-3-25 03:44:35

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Ardent 发表于 2025-3-25 08:47:52

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META 发表于 2025-3-25 15:41:26

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Infiltrate 发表于 2025-3-25 19:32:59

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新鲜 发表于 2025-3-25 23:18:32

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Benign 发表于 2025-3-26 03:35:54

Arithmetic Classification of Pairs (,, ,),Let . be a lattice in ., and let . ≤ .(3) be a point group such that . ⋅ . = .. In this chapter, we classify pairs (., .) up to arithmetic equivalence (defined below). The equivalence classes of pairs (., .) are in one-to-one correspondence with isomorphism classes of split crystallographic groups (see Chap. 4).

新星 发表于 2025-3-26 04:17:55

The Split Three-Dimensional Crystallographic Groups,An . is a discrete, cocompact subgroup of the group of isometries of Euclidean .-space. Each . ∈ . can be written in the form .. + .., where .. ∈ .. is a translation and .. ∈ .(.).

没花的是打扰 发表于 2025-3-26 10:23:12

A Splitting Formula for Lower Algebraic,-Theory,Let . be a three-dimensional crystallographic group with lattice . and point group .. (We do not assume that . is a split crystallographic group.) In this chapter, we describe a simple construction of . and derive a splitting formula for the lower algebraic .-theory of any three-dimensional crystallographic group.

青春期 发表于 2025-3-26 16:38:47

The Homology Groups ,,In this chapter, we compute the homology groups ., for all 73 split three-dimensional crystallographic groups.

CARK 发表于 2025-3-26 18:15:04

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查看完整版本: Titlebook: Algebraic K-theory of Crystallographic Groups; The Three-Dimensiona Daniel Scott Farley,Ivonne Johanna Ortiz Book 2014 Springer Internation