Let G be a finite group. Over any finite G-poset P we may define a transporter category as the corresponding Grothendieck construction. Transporter categories are generalizations of subgroups of G, and we shall demonstrate the finite generation of their cohomology. We record a generalized Frobenius reciprocity and use it to examine some important quotient categories of transporter categories, customarily called local categories. © 2011 Springer-Verlag.
|Publication status||Published - 1 Jan 2012|