References
H. Bass,K2and Symbols, Algebraic K-theory and its geometric applications, Lecture Notes in Math., Vol. 108. (Springer Verlag, 1969).
B. Eckmann andP. J. Hilton,On central group extensions and homology, Comment. Math. Helv.46 (1971), 345–355.
B. Eckmann andU. Stammbach,On exact sequences in the homology of groups and algebras, Ill. J. of Math.14 (1970), 205–215.
P. J. Hilton andU. Stammbach,A course in homological algebra, (Springer Verlag, 1971).
T. Ganea,Homologie et extensions centrales de groupes, C. R. Acad. Sc. Paris266 (1968), 557–558.
M. A. Kervaire,Multiplicateurs de Schur et K-théorie, Essays on Topology and Related Topics. (Springer Verlag, 1970), pp. 212–225.
I. Schur,Über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen, J. für reine und angew. Math.127 (1904), 20–50.
J. Stallings,Homology and central series of groups, J. of Algebra2 (1965), 170–181.
U. Stammbach,Anwendungen der Homologietheorie der Gruppen auf Zentralreihen und auf Invarianten von Präsentierungen. Math. Z.94 (1966), 157–177.
R. G. Swan,Algebraic K-Theory, Lecture Notes in Math., Vol. 76. (Springer Verlag, 1968).
B. Eckmann, P. J. Hilton andU. Stammbach,On the Homology Theory of Central Group Extensions; II—The Extended Exact Sequence in the General Case, to appear in Comment. Math. Helv.
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In Memoriam Heinz Hopf (1894–1971)
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Eckmann, B., Hilton, P.J. & Stammbach, U. On the homology theory of central group extensions: I—The commutator map and stem extensions. Commentarii Mathematici Helvetici 47, 102–122 (1972). https://doi.org/10.1007/BF02566792
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DOI: https://doi.org/10.1007/BF02566792