On the algebraic K-theory of the Hilbert modular group

Mauricio Bustamante; Luis Jorge Sánchez Saldaña

doi:10.2140/agt.2016.16.2107

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Home > Journals > Algebr. Geom. Topol. > Volume 16 > Issue 4 > Article

2016 On the algebraic K-theory of the Hilbert modular group

Mauricio Bustamante, Luis Jorge Sánchez Saldaña

Algebr. Geom. Topol. 16(4): 2107-2125 (2016). DOI: 10.2140/agt.2016.16.2107

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Abstract

We give formulas for the Whitehead groups and the rational K-theory groups of the (integral group ring of the) Hilbert modular group in terms of their maximal finite subgroups.

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Mauricio Bustamante. Luis Jorge Sánchez Saldaña. "On the algebraic K-theory of the Hilbert modular group." Algebr. Geom. Topol. 16 (4) 2107 - 2125, 2016. https://doi.org/10.2140/agt.2016.16.2107

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Received: 28 March 2015; Revised: 3 November 2015; Accepted: 12 January 2016; Published: 2016

First available in Project Euclid: 28 November 2017

zbMATH: 1375.19003

MathSciNet: MR3546460

Digital Object Identifier: 10.2140/agt.2016.16.2107

Subjects:

Primary: 19B28

Secondary: 19D35

Keywords: $p$–chain spectral sequence , algebraic K-theory , Farrell–Jones conjecture , Hilbert modular group , Whitehead groups

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Mauricio Bustamante, Luis Jorge Sánchez Saldaña "On the algebraic K-theory of the Hilbert modular group," Algebraic & Geometric Topology, Algebr. Geom. Topol. 16(4), 2107-2125, (2016)

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