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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