Abstract
In this chapter, we give a complete classification of the 32 three-dimensional point groups. Our treatment is self-contained, but the principles of the classification come from [Sc80, Chap. 4]. Our goal is to describe the point groups as explicit groups of matrices.
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References
R.L.E. Schwarzenberger, N-Dimensional Crystallography. Research Notes in Mathematics, vol. 41 (Pittman Advanced Publishing Program, Boston, Mass.-London 1980)
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© 2014 Springer International Publishing Switzerland
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Farley, D.S., Ortiz, I.J. (2014). Three-Dimensional Point Groups. In: Algebraic K-theory of Crystallographic Groups. Lecture Notes in Mathematics, vol 2113. Springer, Cham. https://doi.org/10.1007/978-3-319-08153-3_2
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DOI: https://doi.org/10.1007/978-3-319-08153-3_2
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Publisher Name: Springer, Cham
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