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The Split Three-Dimensional Crystallographic Groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 2113)

Abstract

An n-dimensional crystallographic group Γ is a discrete, cocompact subgroup of the group of isometries of Euclidean n-space. Each γΓ can be written in the form v γ + A γ , where v γ R n is a translation and A γ O(n).

Keywords

  • Group Theory
  • Point Group
  • Cell Complex
  • Large Point
  • Crystallographic Group

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. J. Ratcliffe, Foundations of Hyperbolic Manifolds. Graduate Texts in Mathematics, vol. 149 (Springer, New York, 1994)

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© 2014 Springer International Publishing Switzerland

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Farley, D.S., Ortiz, I.J. (2014). The Split Three-Dimensional Crystallographic 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_4

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