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Cokernels of the Relative Assembly Maps for \(\mathcal{V}\mathcal{C}_{\infty }\)

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

Abstract

In this chapter, we will compute the contribution of the infinite virtually cyclic groups to the lower algebraic K-theory of the split three-dimensional crystallographic groups. There are three steps. First, in Sect. 9.1, we must determine the (non-negligible) strict stabilizers of lines relative to all 73 split three-dimensional crystallographic groups.

Keywords

  • Cyclic Group
  • Suitable Choice
  • Cell Complex
  • Representative Case
  • Cyclic Subgroup

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). Cokernels of the Relative Assembly Maps for \(\mathcal{V}\mathcal{C}_{\infty }\) . 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_9

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