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Leedham-Green, Charles R.; Hurley, T. C.

Homology in varieties of groups. IV. (English) Zbl 0279.18012

Trans. Am. Math. Soc. 170, 293-303 (1972).
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Cited in 3 Documents

MSC:

08A99 Algebraic structures
20E10 Quasivarieties and varieties of groups
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18G10 Resolutions; derived functors (category-theoretic aspects)
18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects)
18G20 Homological dimension (category-theoretic aspects)
18G40 Spectral sequences, hypercohomology
20J06 Cohomology of groups
16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
20J05 Homological methods in group theory
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\textit{C. R. Leedham-Green} and \textit{T. C. Hurley}, Trans. Am. Math. Soc. 170, 293--303 (1972; Zbl 0279.18012)
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References:

[1] William Feller, An introduction to probability theory and its applications. Vol. I, John Wiley and Sons, Inc., New York; Chapman and Hall, Ltd., London, 1957. 2nd ed. · Zbl 0077.12201
[2] Alexander Grothendieck, Sur quelques points d’algèbre homologique, Tôhoku Math. J. (2) 9 (1957), 119 – 221 (French). · Zbl 0118.26104
[3] T. C. Hurley, Representations of some relatively free groups in power series rings, Proc. London Math. Soc. (3) 24 (1972), 257 – 294. · Zbl 0232.20056
[4] -, The lower central factors of some relatively free groups, J. London Math. Soc. (to appear). · Zbl 0273.20024
[5] C. R. Leedham-Green, Homology in varieties of groups. I, II, III, Trans. Amer. Math. Soc. 162 (1971), 1 – 14; ibid. 162 (1971), 15 – 25; \jname Transactions of the American Mathematical Society 162 (1971), 27 – 33. · Zbl 0232.18013
[6] G. G. Orzech, Obstruction theory in algebraic categories, Ph. D. Thesis, University of Illinois, Urbana, Ill., 1970. · Zbl 0251.18017
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.