Abstract
Theorem 5.1 showed that the lower algebraic K-theory of any crystallographic group can be computed in two pieces. In Chap. 7, we completed the first half of the computation for the 73 split three-dimensional crystallographic groups. The results obtained are summarized in Table 7.8.
Keywords
- Vertical Axis
- Group Theory
- Homology Group
- Cell Complex
- Fundamental Domain
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References
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D. Juan-Pineda, R. Ramos, On the vanishing of twisted nil groups. J. K Theory 3(1), 153–163 (2009)
J.-F. Lafont, I.J. Ortiz, Relating the Farrell Nil-groups to the Waldhausen Nil-groups. Forum Math. 20, 445–455 (2008)
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Farley, D.S., Ortiz, I.J. (2014). Fundamental Domains for Actions on Spaces of Planes. 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_8
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DOI: https://doi.org/10.1007/978-3-319-08153-3_8
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