On the algebraic K-theory of the Hilbert modular group

Bustamante, Mauricio; Sánchez Saldaña, Luis Jorge

doi:10.2140/agt.2016.16.2107

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On the algebraic K-theory of the Hilbert modular group

Mauricio Bustamante and Luis Jorge Sánchez Saldaña

Algebraic & Geometric Topology 16 (2016) 2107–2125

DOI: 10.2140/agt.2016.16.2107

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.

Keywords

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

Mathematical Subject Classification 2010

Primary: 19B28

Secondary: 19D35

References

Publication

Received: 28 March 2015

Revised: 3 November 2015

Accepted: 12 January 2016

Published: 12 September 2016

Authors

Mauricio Bustamante
Department of Mathematical Sciences Binghamton University 4400 Vestal Pkwy E Binghamton, NY 13902 United States

Luis Jorge Sánchez Saldaña
Centro de Ciencias Matemáticas UNAM Campus Morelia 58190 Michoacán, CP Mexico

Volume 16, issue 4 (2016)