Title: On local categories of finite groups

Author: Fei Xu

Address: Department of Mathematics, Shantou University, 243 University Road, Shantou, Guangdong 515063, China.

email: fxu@stu.edu.cn

Abstract: 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.

Status: Math. Zeit. 272 (2012) 1023-1036.