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An extension of Tate cohomology to a class of infinite groups. (English) Zbl 0373.20050


MSC:

20J05 Homological methods in group theory
20J06 Cohomology of groups
Full Text: DOI

References:

[1] Bieri, R., On groups of finite cohomological dimension and duality groups over a ring, J. Pure Appl. Algebra, 6, 83-110 (1975) · Zbl 0349.20020
[2] Bieri, R.; Eckmann, B., Groups with homological duality generalizing Poincare duality, Invent. Math., 20, 103-124 (1973) · Zbl 0274.20066
[3] Brown, K. S., Homological criteria for finiteness, Comment. Math. Helv., 50, 129-135 (1975) · Zbl 0302.18010
[4] Brown, K. S., High dimensional cohomology of discrete groups, Proc. Nat. Acad. Sci. (1976) · Zbl 0367.18012
[5] Cartan, H.; Eilenberg, S., Homological Algebra (1957), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J
[6] MacLane, S., Homology, (Math. Wissensch., 114 (1967), Springer: Springer Berlin) · Zbl 0133.26502
[7] Serre, J. P., Cohomologie des groupes discrets, (Prospects in Mathematics, Ann. Math. Stud., 70 (1971), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J), 77-169 · Zbl 0229.57016
[8] Serre, J-P., Corps locaux (1962), Hermann: Hermann Paris · Zbl 0137.02601
[9] Swan, R., Groups of cohomological dimension one, J. of Algebra, 12, 585-610 (1969) · Zbl 0188.07001
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