Loday, Jean-Louis Cohomologie et groupe de Steinberg rélatifs. (French) Zbl 0391.20040 J. Algebra 54, 178-202 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 76 Documents MSC: 20J99 Connections of group theory with homological algebra and category theory 18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) Keywords:Relative Steinberg Group; Calculation of Relative Algebraic K-Groups; the Group of Equivalence Classes of Relative Extensions; Relative Extension of An Epimorphism; Universal Central Relative Extension × Cite Format Result Cite Review PDF Full Text: DOI References: [1] B. ConradJ. Pure Appl. Algebra; B. ConradJ. Pure Appl. Algebra · Zbl 0377.20042 [2] Gersten, S. M., \(K_3\) of a ring is \(H_3\) of the Steinberg group, (Proc. Amer. Math. Soc., 37 (1973)), 366-368 · Zbl 0272.55006 [3] hill, R. O., A geometric interpretation of a classical group cohomology obstruction, (Proc. Amer. Math. Soc., 54 (1976)), 405-412 · Zbl 0328.55009 [4] Kervaire, M., Multiplicateurs de Schur et \(K\)-théorie, (Essays on Topology and Related Topics. Essays on Topology and Related Topics, Mémoires dédiés à G. de Rham (1970), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York), 212-225 · Zbl 0211.32903 [5] Loday, J.-L, \(K\)-théorie algébrique et représentations de groupes, Ann. Sci. Éc. Norm. Sup. Paris, 9, 309-377 (1976) · Zbl 0362.18014 [6] MacLane, S., Cohomology theory of abstract groups III, Ann. of Math., 50, 736-761 (1949) · Zbl 0039.25703 [7] MacLane, S., Homology, (Die Grundlehren der mathematischen Wissenschaften, 114 (1963), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0133.26502 [8] Milnor, J., Introduction to Algebraic \(K\)-Theory, (Annals of Mathematical Studies (1971), Princeton, Univ. Press: Princeton, Univ. Press Princeton, N. J.), No. 72 · Zbl 0237.18005 [9] Quillen, D., Cohomology of groups, (Actes du Congrès Intern. Math., t. II (1970)), 47-51 · Zbl 0225.18011 [10] Stein, M. R., Relativizing functors on rings and algebraic \(K\)-theory, J. Algebra, 19, 140-152 (1971) · Zbl 0219.18007 [11] Swan, R. G., Excision in algebraic \(K\)-theory, J. Pure Appl. Algebra, 1, 221-252 (1971) · Zbl 0262.16025 [12] Whitehead, J. H.C, Combinatorial homotopy II, Bull. Amer. Math. Soc., 55, 453-496 (1949) · Zbl 0040.38801 [13] Keune, F., The relativization of \(K_2\), J. Algebra, 54, 159-177 (1978) · Zbl 0403.18009 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.