ARCHIV DER MATHEMATIK, vol.96, no.1, pp.39-48, 2011 (SCI-Expanded)
The aim of this paper is to present a general method to construct projective resolutions of globally defined Mackey functors over a field of characteristic zero and apply it to obtain explicit resolutions for inflation functors. Our method is a special case of Bouc's method in (Proc. Symp. Pure Math. 63 (1998), 31-84) and uses global Mackey functors to construct the projective resolutions.