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 ℓ relative to all 73 split three-dimensional crystallographic groups.
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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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DOI: https://doi.org/10.1007/978-3-319-08153-3_9
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