{"product_id":"9789814412278","title":"Geometry Of Crystallographic Groups","description":"\u003cp\u003eCrystallographic groups are groups which act in a nice way and via isometries on some \u003ci\u003en\u003c\/i\u003e-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity in all directions). The book is divided into two parts. In the first part, the basic theory of crystallographic groups is developed from the very beginning, while in the second part, more advanced and more recent topics are discussed. So the first part of the book should be usable as a textbook, while the second part is more interesting to researchers in the field. There are short introductions to the theme before every chapter. At the end of this book is a list of conjectures and open problems. Moreover there are three appendices. The last one gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.\u003c\/p\u003e\u003cp\u003eThis volume omits topics about generalization of crystallographic groups to nilpotent or solvable world and classical crystallography.\u003c\/p\u003e\u003cp\u003e We want to emphasize that most theorems and facts presented in the second part are from the last two decades. This is after the book of L Charlap “Bieberbach groups and flat manifolds” was published.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eDefinitions\u003c\/li\u003e\n\u003cli\u003eBieberbach Theorems\u003c\/li\u003e\n\u003cli\u003eClassification Methods\u003c\/li\u003e\n\u003cli\u003eFlat Manifolds with \u003ci\u003eb\u003c\/i\u003e\u003csub\u003e1\u003c\/sub\u003e = 0\u003c\/li\u003e\n\u003cli\u003eOuter Automorphism Groups\u003c\/li\u003e\n\u003cli\u003eSpin Structures and Dirac Operator\u003c\/li\u003e\n\u003cli\u003eFlat Manifolds with Complex Structures\u003c\/li\u003e\n\u003cli\u003eCrystallographic Groups as Isometries of ℍ\u003ci\u003e\u003csup\u003en\u003c\/sup\u003e\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eHantzsche–Wendt Groups\u003c\/li\u003e\n\u003cli\u003eOpen Problems\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Researchers in geometry and topology, algebra and number theory and chemist.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185285218544,"sku":"9789814412278","price":35.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814412278_p0.jpg?v=1763691296","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814412278","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}