The lower algebraic K-theory of Fuchsian groups, by Ethan Berkove, Daniel Juan-Pineda, and Kimberly Pearson

Let G be a cocompact Fuchsian group. We calculate the lower algebraic K-theory of the integral group ring ZG and find an explicit formula for K_i(ZG), i < 2, in terms of the lower K-groups of finite cyclic groups.


Ethan Berkove <ae5450@exmail.usma.army.mil>
Daniel Juan-Pineda <djuan@zeus.ccu.umich.mx>
Kimberly Pearson <kpearson@exodus.valpo.edu>