The lower algebraic K-theory of Fuchsian groups

Authors
Berkove, E Juan-Pineda, D Pearson, K
Citation
E. Berkove et al., The lower algebraic K-theory of Fuchsian groups, COMM MATH H, 76(2), 2001, pp. 339-352
Citations number
28
Categorie Soggetti
Mathematics
Journal title
COMMENTARII MATHEMATICI HELVETICI
ISSN journal
00102571 → ACNP
Volume
76
Issue
2
Year of publication
2001
Pages
339 - 352
Database
ISI
SICI code
0010-2571(2001)76:2<339:TLAKOF>2.0.ZU;2-4
Abstract
Let Gamma be a cocompact Fuchsian group. We calculate the lower algebraic K -theory of the integral group ring Z Gamma and find an explicit formula fo r K-i(Z Gamma), i less than or equal to 1, in terms of the lower K -groups of maximal finite cyclic subgroups of Gamma.