zbMATH — the first resource for mathematics

Projectivity and relative projectivity over group rings. (English) Zbl 0327.20020

20J99 Connections of group theory with homological algebra and category theory
16D40 Free, projective, and flat modules and ideals in associative algebras
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
16S34 Group rings
20K99 Abelian groups
Full Text: DOI
[1] Adams, J.F.; Margolis, J.R., Modules over the Steenrod algebra, Topology, 10, 271-282, (1971) · Zbl 0225.55016
[2] Cartan, H.; Eilenberg, S., Homological algebra, (1956), Princeton University Press Princeton, N.J · Zbl 0075.24305
[3] L.G. Chouinard, Category theoretic transfer maps, to appear. · Zbl 0438.18009
[4] Chouinard, L.G., Categorical transfer maps and the extension of projectivity in modules, ()
[5] Maclane, S., Homology, (1963), Springer Berlin-Gottingen-Heidelberg · Zbl 0133.26502
[6] Magnus, W.; Karras, A.; Solitar, D., Combinatorial group theory, (1966), Interscience London-New York
[7] Quillen, D.; Venkov, B.B., Cohomology of finite groups and elementary abelian subgroups, Topology, 11, 317-318, (1972) · Zbl 0245.18010
[8] Rim, D.S., Modules over finite groups, Ann. of math., 69, 700-712, (1959) · Zbl 0092.26104
[9] Serre, J.-P., Sur la dimension cohomologique des groupes profinis, Topology, 3, 413-420, (1965) · Zbl 0136.27402
[10] Serre, J.-P., Cohomologie des groupes discrets, (), Prospects in Mathematics · Zbl 0174.31301
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.