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Leedham-Green, Charles R.; McKay, Susan

Baer-invariants, isologism, varietal laws and homology. (English) Zbl 0364.20036

Acta Math. 137, 99-150 (1976).
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Cited in 4 Reviews
Cited in 44 Documents

MSC:

20E10 Quasivarieties and varieties of groups
20J05 Homological methods in group theory
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\textit{C. R. Leedham-Green} and \textit{S. McKay}, Acta Math. 137, 99--150 (1976; Zbl 0364.20036)
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References:

[1] André, M.,Méthode simpliciale en algèbre homologique et algèbre commutative. Lecture Notes in Math. 32, Springer-Verlag, Berlin 1967. · Zbl 0154.01402
[2] Baer, R., Representations, of groups as quotient groups, I–III.Trans. Amer. Math. Soc., 58 (1945), 295–419. · Zbl 0061.02703
[3] –, Endlichkeitskriterien für Kommutatorgruppen.Math. Ann., 124 (1952), 161–177. · Zbl 0046.02202
[4] Barr, M., Cohomology and obstructions: commutative algebras.Seminar on triples and categorical homology theory. Lecture Notes in Math. 80, 357–375, Springer-Verlag, Berlin 1969.
[5] Barr, M. &Beck, J., Acyclic models and triples.Proc. Conference on Categorical Algebra, La Jolla, Springer, New York, 1966, 336–343. · Zbl 0201.35403
[6] – Homology and standard constructions.Seminar on triples and categorical homology theory. Lecture Notes in Math. 80, 245–335, Springer, Berlin, 1969.
[7] –, Triples and cohomology. Thesis, Columbia University, New York 1965.
[8] Bryant, R. M., Some infinitely based varieties of groups.J. Austral. Math. Soc., 16 (1973), 29–32. · Zbl 0272.20019
[9] Eilenberg, S. &MacLane, S., Cohomology theory in abstract groups, II, Group extensions with a non-abelian kernel.Ann. of Math., 48 (1947), 326–341. · Zbl 0029.34101
[10] Fröhlich, A., Baer-invariants of algebras.Trans. Amer. Math. Soc., 109 (1963), 221–244. · Zbl 0122.25702
[11] Gerstenhaber, M., On the deformation of rings and algebras, II.Ann. of Math., 84 (1966), 1–19. · Zbl 0147.28903
[12] Gruenberg, K. W.,Cohomological topics in group theory. Lectures notes in Math. 143, Springer, New York 1970. · Zbl 0205.32701
[13] Hall, M., & Senior, J. K.,The Groups of Order 2 n (n). Macmillan, New York, 1964. · Zbl 0192.11701
[14] Hall, P., The classification of prime power groups.J. Reine Angew. Math., 182 (1940), 130–141. · JFM 66.0081.01
[15] –, Verbal and marginal subgroups.J. Reine Angew. Math., 182 (1940), 156–157. · Zbl 0023.29902
[16] –, Finiteness conditions for soluble groups.Proc. London Math. Soc., (3) 4 (1954), 419–436. · Zbl 0056.25603
[17] –Nilpotent Groups. Canad. Math. Congress, Univ. of Alberta, 1957. Queen Mary College Math. Notes, London, 1970.
[18] – On the finiteness of certain soluble groups.Proc. London Math. Soc., (3) 9 (1959), 595–622. · Zbl 0091.02501
[19] Johnson, K. W., Varietal generalisations of Schur multipliers, stem extensions and stem covers.J. Reine Angew. Math., 270 (1974), 169–183. · Zbl 0291.18019
[20] –, A computer calculation of homology in varieties of groups.J. London Math. Soc., (2) 8 (1974), 247–252. · Zbl 0288.18014
[21] Keune, F. J., Homotopical algebra and algebraic K-theory. Thesis University of Amsterdam, 1972.
[22] Knopfmacher, J., Extensions in varieties of groups and algebras.Acta Math., 115 (1966), 17–50. · Zbl 0144.01404
[23] Kovacs, L. G., Neumann, B. H. &de Vries, H., Some Sylow subgroups.Proc. Roy. Soc. Ser. A, 260 (1961), 304–316. · Zbl 0102.26205
[24] Leedham-Green, C. R., Homology in varieties of groups, I–III.Trans. Amer. Math. Soc., 162 (1971), 1–33. · Zbl 0232.18013
[25] Leedham-Green, C. R. &Hurley, T. C., Homology in varieties of groups, IV.Trans. Amer. Math. Soc., 170 (1972), 293–303. · Zbl 0279.18012
[26] Lue, A. S.-T., Baer-invariants and extensions relative to a variety.Proc. Cambridge Philos. Soc., 63 (1967), 569–578. · Zbl 0154.27501
[27] – Cohomology of algebras, relative to a variety.Math. Z., 121, (1971), 220–232. · Zbl 0211.53404
[28] MacDonald, J. L., Group derived functors.J. Algebra, 10 (1968), 448–477. · Zbl 0182.03103
[29] Merzljakov, Ju. I., Verbal and marginal subgroups, of linear groups.Dokl. Akad. Nauk SSSR, 177 (1967), 1008–1011. (English translation:Soviet Math. Dokl., 8 (1967), 1538–1541.)
[30] Neumann, H.,Varieties of Groups. Springer-Verlag, Berlin, 1967. · Zbl 0149.26704
[31] Neumann, Peter M. Splitting groups and projectives in varieties of groups.Quart. J. Math. Oxford, (2) 18 (1967), 325–332. · Zbl 0149.26801
[32] Orzech, Grace, Obstruction theory in algebraic categories, I–II.J. Pure Appl. Algebra, 2 (1972), 287–340. · Zbl 0251.18016
[33] Rinehart, G. S., Satellites and cohomology.J. Algebra, 12 (1969), 295–329, Errata,J. Algebra, 14 (1970), 125–126. · Zbl 0181.03101
[34] Schur, I., Über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen.J. Reine Angew. Math., 127 (1904), 20–50. · JFM 35.0155.01
[35] Stallings, J., Homology and central series of groups.J. Algebra, 2 (1965), 170–181. · Zbl 0135.05201
[36] Tierney, M. &Vogel, W., Simplicial resolutions and derived functors.Math. Z., 111 (1969), 1–14. · Zbl 0181.31602
[37] Turner-Smith, R. F., Finiteness conditions for verbal subgroups.J. London Math. Soc., 41 (1966), 166–176. · Zbl 0135.04402
[38] Vaughan-Lee, M. R., Uncountably many varieties of groups.Bull. London Math. Soc., 2 (1970), 280–286. · Zbl 0216.08401
[39] Wilson, J. C. R., Topics in verbal subgroups. Thesis, London University, 1972.
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