TY  - JOUR
AB  - We provide some proofs of generation of derived bounded and unbounded categories of chain complexes of groups in Kropholler’s hierarchy in terms of the classes of modules induced up from subgroups that are at a lower level in the hierarchy compared to the big group. We formulate and use some generation results from the module category for this. The treatment is fairly straight-forward. We use these results to show that stable module categories for a large class of infinite groups, as defined by Mazza and Symonds in [14], are well-generated which is a generalization of the analogous result for finite groups whose stable module categories are compactly generated.
AU  - Biswas, Rudradip
DA  - 2021
DO  - 10.17879/59019510918
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 191
PY  - 2021
SP  - 191-221
T2  - Münster Journal of Mathematics
TI  - Generating derived categories of groups in Kropholler's hierarchy.
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-59019515964
Y2  - 2024-11-22T04:17:31
ER  -