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On the toplogical computation of K4 of t...

Sikiric, Mathieu Dut...

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On the toplogical computation of K4 of the Gaussian and Eisenstein integers by Sikiric, Mathieu Dutour ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	In this paper we use topological tools to investigate the structure of the algebraic K-groups K_4 (Z[i]) and K_4 (Z[rho]), where i := sqrt{-1} and rho := (1+sqrt{-3})/2. We exploit the close connection between homology groups of GL_n(R) for n <= 5 and those of related classifying spaces, then compute the former using Voronoi's reduction theory of positive definite quadratic and Hermitian forms to produce a very large finite cell complex on which GL_n(R) acts. Our main result is that K_4 (Z[i]) and K_4 (Z[rho]) have no p-torsion for p >= 5.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.0584

Citation

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AMA 11th EditionReferences

Sikiric, Mathieu Dutour. On the toplogical computation of K4 of the Gaussian and Eisenstein integers. Australian National University. September 06, 2023. Accessed November 12, 2024. https://online.provdatabase.com/cite/23794

APA 7th EditionReferences

Sikiric, Mathieu Dutour. (2023). On the toplogical computation of K4 of the Gaussian and Eisenstein integers. Australian National University. https://online.provdatabase.com/cite/23794

Chicago 17th EditionReferences

Sikiric, Mathieu Dutour. On the toplogical computation of K4 of the Gaussian and Eisenstein integers. Australian National University. 2023. https://online.provdatabase.com/cite/23794

HarvardReferences

Sikiric, Mathieu Dutour. (2023). On the toplogical computation of K4 of the Gaussian and Eisenstein integers. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23794. (Accessed 12 November 2024).

Harvard AustraliaReferences

Sikiric, Mathieu Dutour, 2023, On the toplogical computation of K4 of the Gaussian and Eisenstein integers, Australian National University, viewed 12 November 2024, <https://online.provdatabase.com/cite/23794>

MLA 9th EditionWorks Cited

Sikiric, Mathieu Dutour. On the toplogical computation of K4 of the Gaussian and Eisenstein integers. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23794.

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