The lower algebraic K-theory of Fuchsian groups

被引:8
|
作者
Berkove, E [1 ]
Juan-Pineda, D
Pearson, K
机构
[1] Lafayette Coll, Dept Math, Easton, PA 18042 USA
[2] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico
[3] Valparaiso Univ, Dept Math & CS, Valparaiso, IN 46383 USA
关键词
K-theory; Fuchsian groups; Kleinian groups;
D O I
10.1007/PL00000382
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 for 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.
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页码:339 / 352
页数:14
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