Relative derived functors and the homology of groups

Graham J. Ellis

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1990)

  • Volume: 31, Issue: 2, page 121-135
  • ISSN: 1245-530X

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Ellis, Graham J.. "Relative derived functors and the homology of groups." Cahiers de Topologie et Géométrie Différentielle Catégoriques 31.2 (1990): 121-135. <http://eudml.org/doc/91454>.

@article{Ellis1990,
author = {Ellis, Graham J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {normal subgroups; hyper-relative homology groups; Hopf formula; homology exact sequences},
language = {eng},
number = {2},
pages = {121-135},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Relative derived functors and the homology of groups},
url = {http://eudml.org/doc/91454},
volume = {31},
year = {1990},
}

TY - JOUR
AU - Ellis, Graham J.
TI - Relative derived functors and the homology of groups
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1990
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 31
IS - 2
SP - 121
EP - 135
LA - eng
KW - normal subgroups; hyper-relative homology groups; Hopf formula; homology exact sequences
UR - http://eudml.org/doc/91454
ER -

References

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  1. 1 M. Barr & J. Beck, Homology and standard constructions, Lecture Notes in Math.80, Springer (1969), 245-335. Zbl0176.29003MR258917
  2. 2 R. Brown& G.J. Ellis, Hopf formulae for the higher homology of a group, Bull. London Math. Soc.20 (1988), 124-128. Zbl0611.20032MR924238
  3. 3 R. Brown & J.-L. Loday, Van Kampen Theorems for diagrams of spaces, Topology26 (3) (1987), 311-335. Zbl0622.55009MR899052
  4. 4 E.B. Curtis, Simplicial homotopy theory, Advances in Math.6 (1971), 107-204. Zbl0225.55002MR279808
  5. 5 Introduction to Seminar on triples and categorical homology theory, Lecture Notes in Math.80. Springer (1969). 
  6. 6 G.J. Ellis.Non-abelian exterior products of groups and exact sequences in the homology of groups, Glasgow Math. J.29 (1987), 13-19. Zbl0631.20040MR876146
  7. 7 G.J. Ellis.An algebraic derivation of a certain exact sequence, Galway Math. Preprint88/1 (1988). MR1029411
  8. 8 F. Keune, Homotopical algebra and algebraic K-theory, Thesis. Amsterdam1972. 
  9. 9 F. Keune.The relativisation of K2, J. Algebra54 (1978), 159-177. Zbl0403.18009MR511460
  10. 10 J.-L. Loday, Spaces with finitely many homotopy groups, J. Pure & Appl. Algebra24 (1982), 179-202. Zbl0491.55004MR651845
  11. 11 C. Miller.The second homology of a group. Proc. A.M.S.3 (1952), 588-595. Zbl0047.25703MR49191
  12. 12 G.S. Rinehart, Satellites and cohomology, J. Algebra12 (1969), 295-332: Errata. ibid.14 (1970), 125-127. Zbl0185.04203MR245647
  13. 13 A.G. Rodicio, A homological exact sequence associated with a family of normal subgroups, Cahiers Top. & Géom. Diff. Cat.. to appear. Zbl0632.20033
  14. 14 R.J. Stfiner, Resolutions of spaces by cubes of fibrations, J. London Math. Soc. (2) 34 (1986), 169-176. Zbl0576.55007MR859158

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