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A Splitting Formula for Lower Algebraic K-Theory

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

Abstract

Let Γ be a three-dimensional crystallographic group with lattice L and point group H. (We do not assume that Γ is a split crystallographic group.) In this chapter, we describe a simple construction of \(E_{\mathcal{V}\mathcal{C}}(\varGamma )\) and derive a splitting formula for the lower algebraic K-theory of any three-dimensional crystallographic group.

Keywords

  • Disjoint Union
  • Point Group
  • Cyclic Subgroup
  • Simple Construction
  • Integral 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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Farley, D.S., Ortiz, I.J. (2014). A Splitting Formula for Lower Algebraic K-Theory. 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_5

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