On the algebraic K-theory of the Hilbert modular group

Bustamante, Mauricio¹ ; Sánchez Saldaña, Luis Jorge²

¹Department of Mathematical Sciences, Binghamton University, 4400 Vestal Pkwy E, Binghamton, NY 13902, United States
²Centro de Ciencias Matemáticas, UNAM, Campus Morelia, 58190 Michoacán, CP, Mexico

Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 2107-2125

Résumé

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.

Détail

DOI : 10.2140/agt.2016.16.2107

Classification : 19B28, 19D35
Keywords: algebraic K-theory, Farrell–Jones conjecture, Whitehead groups, Hilbert modular group, $p$–chain spectral sequence

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