Bredon cohomological dimensions for proper actions and Mackey functors

TY - JOUR

T1 - Bredon cohomological dimensions for proper actions and Mackey functors

AU - Degrijse, Dieter Dries

PY - 2015/11/1

Y1 - 2015/11/1

N2 - For groups with a uniform bound on the length of chains of finite subgroups, we study the relationship between the Bredon cohomological dimension for proper actions and the notions of cohomological dimension one obtains by restricting the coefficients of Bredon cohomology to (cohomological) Mackey functors or fixed point functors. We also investigate the closure properties of the class of groups with finite Bredon cohomological dimension for Mackey functors.

AB - For groups with a uniform bound on the length of chains of finite subgroups, we study the relationship between the Bredon cohomological dimension for proper actions and the notions of cohomological dimension one obtains by restricting the coefficients of Bredon cohomology to (cohomological) Mackey functors or fixed point functors. We also investigate the closure properties of the class of groups with finite Bredon cohomological dimension for Mackey functors.

U2 - 10.1515/forum-2014-0003

DO - 10.1515/forum-2014-0003

M3 - Journal article

SN - 0933-7741

VL - 27

SP - 3667

EP - 3696

JO - Forum Mathematicum

JF - Forum Mathematicum

IS - 6

ER -