Question de Whitehead et modules précroisés

 Access to full text

 Full (PDF)

1. [1] ADAMS (J.F.). — A new proof of a theorem of W.H. Cockroft, J. London Math. Soc., t. 30, 1955, p. 482-488. Zbl0064.41503MR17,883d
2. [2] BAER (R.). — Representations of groups as quotient groups III, Trans. A.M.S., t. 58, 1945, p. 390-419. Zbl0061.02703
3. [3] BAUES (H.J.). — Algebraic homotopy. — Cambridge Studies on Advanced Mathematics 15, Cambridge University Press, Cambridge 1989. Zbl0688.55001MR90i:55016
4. [4] BAUES (H.J.) and CONDUCHÉ (D.). — The central series for Peiffer commutators in groups with operators, J. Algebra, t. 133, 1990, p. 1-34. Zbl0704.55008MR91m:20051
5. [5] BOGLEY (W.A.). — An embedding for π2 of a subcomplex of a finite contractible two-complex, Glasgow Math J., t. 33, 1991, p. 365-371. Zbl0736.57003MR92k:57003
6. [6] BOGLEY (W.A.). — On J.H.C. Whitehead's asphericity question in “Two-dimensional homotopy and combinatorial group theory”, C. Hog-Angeloni, W. Metzler and A.J. Sieradski editors. — London Math. Soc., Lecture Note Series 197, 1993, p. 309-334, Cambridge University Press, Cambridge. Zbl0811.57008MR1279184
7. [7] BOGLEY (W.A.) and GUTIÉRREZ (M.A.). — Mayer-Vietoris sequences in homotopy of 2-complexes and in homology of groups, J. Pure Applied Algebra, t. 77, 1992, p. 39-65. Zbl0761.55016MR93e:20069
8. [8] BOURBAKI (N.). — Algèbre commutative, chapitres I à IV. — Masson, Paris, 1985. 
9. [9] BRANDENBURG (J.) and DYER (M. N.). — On J.H.C. Whitehead's aspherical question I, Comm. Math. Helv., t. 56, 1981, p. 431-446. Zbl0499.57004MR83d:57002
10. [10] BROWN (R.). — Coproducts of crossed P-module : Applications to second homotopy groups and to the homology of groups, Topology, t. 23, 1984, p. 337-345. Zbl0519.55009MR86e:18017
11. [11] BROWN (R.) and HUEBSCHMANN (J.). — Identities among relations in “Low dimensional Topology”, R. Brown and T.L. Thickstun editors. — London Math. Soc. Lecture Note Series 48, 1982, p. 153-202, Cambridge University Press, Cambridge. Zbl0485.57001MR83h:57008
12. [12] COCKCROFT (W.H.). — On two dimensional aspherical complexes, Proc. London Math. Soc., t. (3), 4, 1954, p. 375-384. Zbl0055.41903MR16,62b
13. [13] COHN (P. M.). — Generalization of a theorem of Magnus, Proc. London Math. Soc., t. (3), 2, 1952, p. 297-310. Zbl0047.02501MR14,532c
14. [14] CONDUCHÉ (D.). — Modules croisés généralisés de longueur 2, J. Pure Applied Algebra, t. 34, 1984, p. 155-178. Zbl0554.20014MR86g:20068
15. [15] CONDUCHÉ (D.) et ELLIS (G.J.). — Quelques propriétés homologiques des modules précroisés, J. Algebra, t. 123, 1989, p. 327-335. Zbl0698.18008MR90i:20053
16. [16] CURTIS (E.B.). — Simplicial homotopy theory, Advances in Math., t. 6, 1971, p. 107-209. Zbl0225.55002MR43 #5529
17. [17] DYER (M.N.). — Crossed Modules and π2 Homotopy Modules in “Two-dimensional homotopy and combinatorial group theory”, C. Hog-Angeloni, W. Metzler and A. J. Sieradski editors. — London Math. Soc. Lecture Note Series 197, 1993, p. 309-334, Cambridge University Press, Cambridge. Zbl0811.57004
18. [18] DYER (M.N.). — Subcomplexes of two-complexe and projectives crossed modules in "Combinatorial Group Theory and Topology", S.M. Gersten and J. Stallings editors, Ann. of Math. Studies, t. 111, 1987, p. 255-264. Zbl0643.57005MR88j:57007
19. [19] ELLIS (G.J.). — Homology of 2-types, J. London Math. Soc., t. 46, 1992, p. 1-27. Zbl0713.18008MR93h:55014
20. [20] ELLIS (G.J.) and PORTER (T.). — Free and projective crossed modules and the second homology group of a group, J. Pure Appl. Algebra, t. 40, 1986, p. 27-31. Zbl0584.20039MR87d:20068
21. [21] GUTIÉRREZ (M.A.) and RATCLIFFE (J.G.). — On the second homotopy group, Quart. J. Math. Oxford, t. (2), 32, 1981, p. 45-55. Zbl0457.57002MR82g:57003
22. [22] HOWIE (J.). — On locally indicable groups, Math. Z., t. 180, 1982, p. 445-461. Zbl0471.20017MR84b:20036
23. [23] HUEBSCHMANN (J.). — Aspherical 2-complexes and an unsettled problem of J.H.C. Whitehead, Math. Ann., t. 258, 1981, p. 17-37. Zbl0458.57001MR83e:57004
24. [24] ILLUSIE (L.). — Complexe cotangent et déformation, tome 2. — Lecture Notes in Math. 283, Springer, Berlin, 1972. Zbl0238.13017MR58 #10886b
25. [25] KAN (D.M.). — A relation between CW-complexes and free groups, Amer. J. Math., t. 81, 1959, p. 518-528. Zbl0109.16201MR22 #1901
26. [26] LAMOTKE (K.). — Semisimpliziale algebraische Topologie, Grundlehren der Math. Wiss., t. 167, Springer, Berlin, 1968. Zbl0188.28301MR39 #6318
27. [27] MAY (J.P.). — Simplicial objects in algebraic topology. — Math. Studies, 11, Van Nostrand, Princeton, 1967. Zbl0165.26004MR36 #5942
28. [28] PAPAKYRIAKOPOULOS (C.D.). — Attaching 2-dimensional cells to a complex, Ann. Math., t. 78, 1963, p. 205-222. Zbl0113.38504MR27 #4232
29. [29] PASSI (I.B.S.). — Annihilators of relation modules II, J. Pure Appl. Algebra, t. 6, 1975, p. 235-237. Zbl0326.20028MR52 #3297
30. [30] PASSMAN (D.S.). — The algebraic structure of group rings. — Pure and Appl. Math., vol. XX, J. Wiley and Sons, New York, 1979. 
31. [31] PEIFFER (R.). — Uber Identitäten zwischen Relationen, Math. Ann., t. 121, 1949, p. 67-99. Zbl0040.15002MR11,322c
32. [32] QUILLEN (D.). — Spectral sequence of a double semi-simplicial group, Topology, t. 5, 1966, p. 155-157. Zbl0148.43105MR33 #3302
33. [33] RATCLIFFE (J.G.). — Free and projective crossed modules, J. London Math. Soc., t. 22, 1980, p. 66-74. Zbl0427.20044MR81h:18012
34. [34] STALLINGS (J.). — Homology and Central series of groups, J. Algebra, t. 2, 1965, p. 770-787. Zbl0135.05201MR31 #232
35. [35] WHITEHEAD (J.H.C.). — On adding relations to homotopy groups, Ann. Math., t. 42, 1941, p. 409-428. Zbl0027.26404MR2,323cJFM67.0738.04
36. [36] WHITEHEAD (J.H.C.). — Note on a previous paper intitled "On adding relations to homotopy groups", Ann. Math., t. 47, 1946, p. 806-810. Zbl0060.41104MR8,167a