Crossed modules as G -categories

Robert Gordon

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1993)

  • Volume: 34, Issue: 4, page 305-319
  • ISSN: 1245-530X

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Gordon, Robert. "Crossed modules as $G$-categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 34.4 (1993): 305-319. <http://eudml.org/doc/91531>.

@article{Gordon1993,
author = {Gordon, Robert},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {crossed module; -category; Whitehead group of derivations},
language = {eng},
number = {4},
pages = {305-319},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Crossed modules as $G$-categories},
url = {http://eudml.org/doc/91531},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Gordon, Robert
TI - Crossed modules as $G$-categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1993
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 34
IS - 4
SP - 305
EP - 319
LA - eng
KW - crossed module; -category; Whitehead group of derivations
UR - http://eudml.org/doc/91531
ER -

References

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  2. 2 K.S. Brown, Cohomology of groups, Springer1982. Zbl0584.20036MR672956
  3. 3 R. Brown, Topology, Ellis Horwood lim., Chicester1988. Zbl0655.55001MR984598
  4. 4 R. Brown & C.B. Spencer, G-groupoids, crossed modules and the fundamental groupoid of a topological group, Proc. Kon. Ned. Akad. v. Wet.79 (1976), 296-302. Zbl0333.55011MR419643
  5. 5 T. Datuashvili, Cohomology of internal categories in categories of groups with operations, in Proc. Intern. Conf. on Categorical Topology (Prague1988), World Scientific (1989), 270-283. MR1047907
  6. 6 T. Datuashvili, Cohomologically trivial internal categories in the categories of groups with operations, Preprint 1991. Zbl0844.18004MR1354676
  7. 7 R. Gordon, G-categories, Mem. AMS482 (1993). Zbl0780.18001MR1126178
  8. 8 R. Gordon, A characterization of G-categories G-equivalent to the G-category of graded modules over a generalized G-graded algebra, J. Algebra143 (1991), 505-517. Zbl0742.16023MR1132584
  9. 9 J.-L. Loday, Spaces with finitely many non-trivial homotopy groups, J.' Pure & Appl. Algebra24 (1982), 179-202. Zbl0491.55004MR651845
  10. 10 A.S.T. Lue, Semi-complete crossed modules and holomorphs of groups, Bull. London Math. Soc.11 (1979), 8-16. Zbl0416.20030MR535788
  11. 11 S. Maclane, Categories for the working mathematician, Springer1971. Zbl0705.18001MR354798
  12. 12 K. Norrie, Actions and automorphisms of crossed modules, Bull. Soc. Math. France ?? (1990), 129-146. Zbl0719.20018MR1087375
  13. 13 J. Taylor, Quotients of groupoids by an action of a group, Math. Proc. Cambridge Phil. Soc.103 (1988), 239-249. Zbl0655.57030MR923675
  14. 14 J.H.C. Whitehead, On operators in relative homotopy groups, Ann. Math.49 (1948), 610-640. Zbl0041.10102MR28026
  15. 15 J.H.C. Whitehead, Combinatorial homotopy, II, Bull. Amer. Math. Soc.55 (1949), 453-496. Zbl0040.38801MR30760

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