Abstract
This general introduction deals with the theory of the main subjects of this volume: space groups and their subgroups. After some general remarks, the definitions and the corresponding lemmata of mappings (and their description by matrices) and groups (in particular symmetry groups, their classifications and their subgroups) are given. The different types of subgroups are defined and explained using several examples. The practical use of the abstract group–subgroup relations of space groups is explained and demonstrated using examples of their application to domain structures in Section 1.2.7. The chapter closes with a list of the most important lemmata on group–subgroup relations between space groups (without proofs). This chapter is also available as HTML from the International Tables Online site hosted by the IUCr.
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© 2006 International Union of Crystallography
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Wondratschek, H. (2006). General introduction to the subgroups of space groups. In: Wondratschek, H., Müller, U. (eds) International Tables for Crystallography Volume A1: Symmetry relations between space groups. International Tables for Crystallography, vol A1. Springer, Dordrecht. https://doi.org/10.1107/97809553602060000538
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DOI: https://doi.org/10.1107/97809553602060000538
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2355-2
Online ISBN: 978-1-4020-5413-6
eBook Packages: Springer Book Archive