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Stammbach, Urs

Varietal homology and parafree groups. (English) Zbl 0253.20076

Math. Z. 128, 153-167 (1972).
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Cited in 3 Documents

MSC:

20J05 Homological methods in group theory
20J06 Cohomology of groups
20E10 Quasivarieties and varieties of groups
20E05 Free nonabelian groups
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References:

[1] André, M.: Méthode simpliciale en algèbre homologique et algèbre commutative, Lecture Notes in Mathematics, vol. 32 Berlin-Heidelberg-New York: Springer 1967. · Zbl 0154.01402
[2] Barr, M., Beck, J.: Homology and standard constructions, Lecture Notes in Mathematics, vol. 80. Berlin-Heidelberg-New York: Springer 1969. · Zbl 0176.29003
[3] Baumslag, G.: Groups with the same lower central sequence as a relatively free group. I. The groups. Trans. Amer. Math. Soc.129, 308-321 (1967). · Zbl 0153.35002
[4] Baumslag, G.: Groups with the same lower central sequence as a relatively free group. II. Propeties. Trans. Amer. Math. Soc.142, 507-538 (1969). · Zbl 0188.06002 · doi:10.1090/S0002-9947-1969-0245653-3
[5] Eckmann, B., Hilton, P., Stammbach, U.: On the homology theory of central group extensions I. The commutator map and stem extensions. Commentarii Math. Helvet.47, 102-122 (1972). · Zbl 0236.20038 · doi:10.1007/BF02566792
[6] Gruenberg, K. W.: Cohomological topics in group theory. Lecture Notes in Mathematics, vol. 143. Berlin-Heidelberg-New York: Springer 1970. · Zbl 0205.32701
[7] Hilton, P., Sammbach, U.: A course in homological algebra. Graduate Texts in Mathematics, vol. 4. Berlin-Heidelberg-New York: Springer 1971. · Zbl 0238.18006
[8] Leedham-Green, C.: Homology in varieties of groups I. Trans. Amer. Math. Soc.162, 1-14 (1971). · Zbl 0232.18013 · doi:10.1090/S0002-9947-1971-99930-9
[9] Leedham-Green, C.: Homology in varieties of groups II. Trans. Amer. Math. Soc.162, 15-26 (1971). · Zbl 0232.18014 · doi:10.1090/S0002-9947-71-99968-5
[10] Leedham-Green, C.: Homology in varieties of groups III. Trans. Amer. Math. Soc.162, 27-34 (1971). · Zbl 0232.18015
[11] Passi, I. B. S., Vermani, L. R.: The inflation homomorphism. J. London Math. Soc. (to appear). · Zbl 0253.20075
[12] Rinehart, G. S.: Satellites and cohomology. J. Algebra12, 295-329 (1969). · Zbl 0181.03101 · doi:10.1016/0021-8693(69)90032-5
[13] Stallings, J.: Homology and central series of groups. J. Algebra2, 295-329 (1969).
[14] Stammbach, U.: Anwendungen der Homologietheorie der Gruppen auf Zentralreihen und auf Invarianten von Präsentierungen. Math. Z.,94, 157-177 (1966). · Zbl 0144.26001 · doi:10.1007/BF01111346
[15] Stammbach, U.: Homological methods in group varieties. Commentarii Math. Helvet.45, 287-298 (1970). · Zbl 0195.03703 · doi:10.1007/BF02567332
[16] Ulmer, F.: Kan extensions, cotriples and André (co)homology. Lecture Notes in Mathematics, vol. 92. Berlin-Heidelberg-New York: Springer 1969. · Zbl 0201.02401
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