期刊全称 | Algebraic K-theory of Crystallographic Groups | 期刊简称 | The Three-Dimensiona | 影响因子2023 | Daniel Scott Farley,Ivonne Johanna Ortiz | 视频video | | 发行地址 | Contains an elementary classification of the arithmetic classes of three-dimensional crystallographic groups.Gives a clear construction, for a geometrically important class of groups, of the classifyi | 学科分类 | Lecture Notes in Mathematics | 图书封面 |  | 影响因子 | The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field. | Pindex | Book 2014 |
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