Geometry of crystallographic groups:
Crystallographic groups are groups which act in a nice way and via isometries on some n-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 tw...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2012
|
| Schriftenreihe: | Algebra and discrete mathematics
v. 4 |
| Schlagwörter: | |
| Links: | http://www.worldscientific.com/worldscibooks/10.1142/8519#t=toc http://www.worldscientific.com/worldscibooks/10.1142/8519#t=toc |
| Zusammenfassung: | Crystallographic groups are groups which act in a nice way and via isometries on some n-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. This volume omits topics about generalization of crystallographic groups to nilpotent or solvable world and classical crystallography. 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 |
| Umfang: | xi, 195 p. ill |
| ISBN: | 9789814412261 |
Internformat
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| 520 | |a Crystallographic groups are groups which act in a nice way and via isometries on some n-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. This volume omits topics about generalization of crystallographic groups to nilpotent or solvable world and classical crystallography. 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 | ||
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| author | Szczepański, Andrzej 1954- |
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| dewey-ones | 548 - Crystallography |
| dewey-raw | 548.81 |
| dewey-search | 548.81 |
| dewey-sort | 3548.81 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Physik |
| format | Electronic eBook |
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| id | DE-604.BV044638967 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T18:07:44Z |
| institution | BVB |
| isbn | 9789814412261 |
| language | English |
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| physical | xi, 195 p. ill |
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| publishDate | 2012 |
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| series2 | Algebra and discrete mathematics |
| spelling | Szczepański, Andrzej 1954- Verfasser (DE-588)1225127718 aut Geometry of crystallographic groups Andrzej Szczepanski Singapore World Scientific Pub. Co. c2012 xi, 195 p. ill txt rdacontent c rdamedia cr rdacarrier Algebra and discrete mathematics v. 4 Crystallographic groups are groups which act in a nice way and via isometries on some n-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. This volume omits topics about generalization of crystallographic groups to nilpotent or solvable world and classical crystallography. 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 Crystallography, Mathematical Symmetry groups Raumgruppe (DE-588)4177070-5 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Raumgruppe (DE-588)4177070-5 s Geometrie (DE-588)4020236-7 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814412254 http://www.worldscientific.com/worldscibooks/10.1142/8519#t=toc Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Szczepański, Andrzej 1954- Geometry of crystallographic groups Crystallography, Mathematical Symmetry groups Raumgruppe (DE-588)4177070-5 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4177070-5 (DE-588)4020236-7 |
| title | Geometry of crystallographic groups |
| title_auth | Geometry of crystallographic groups |
| title_exact_search | Geometry of crystallographic groups |
| title_full | Geometry of crystallographic groups Andrzej Szczepanski |
| title_fullStr | Geometry of crystallographic groups Andrzej Szczepanski |
| title_full_unstemmed | Geometry of crystallographic groups Andrzej Szczepanski |
| title_short | Geometry of crystallographic groups |
| title_sort | geometry of crystallographic groups |
| topic | Crystallography, Mathematical Symmetry groups Raumgruppe (DE-588)4177070-5 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Crystallography, Mathematical Symmetry groups Raumgruppe Geometrie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8519#t=toc |
| work_keys_str_mv | AT szczepanskiandrzej geometryofcrystallographicgroups |