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Central extensions of groups and an embedding question of J. H. C. Whitehead

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References

  1. F. R.Beyl and J.Tappe, Group Extensions, Representations and the Schur Multiplicator. LNM958, Berlin-Heidelberg-New York 1982.

  2. W. A.Bogley and M. A.Gutierrez, Mayer-Vietoris sequences in homotopy of 2-complexes and in homology of groups. J. Pure Appl. Algebra, to appear.

  3. R. Brown, Coproducts of crossedP-modules: applications to second homotopy groups and to the homology of groups. Topology23, 337–345 (1984).

    Google Scholar 

  4. N. D. Gilbert andP. J. Higgins, The non-abelian tensor product of groups and related constructions. Glasgow Math. J.31, 17–29 (1989).

    Google Scholar 

  5. O. N. Golovin, Nilpotent products of groups. Mat. Sb.27, 427–454 (1950); Amer. Math. Soc. Transl. (Ser. 2)2, 89–116 (1956).

    Google Scholar 

  6. K. W.Gruenberg, Cohomological Topics in Group Theory. LNM143, Berlin-Heidelberg-New York 1970.

  7. P. Hall, The classification of prime-power groups. J. Reine Angew. Math.182, 130–141 (1940).

    Google Scholar 

  8. N. S. Hekster, On the structure ofn-isoclinism classes of groups. J. Pure Appl. Algebra40, 63–85 (1986).

    Google Scholar 

  9. A. Miller, Relative automorphisms and crossed modules. Preprint, Univ. Oklahoma at Norman 1986.

    Google Scholar 

  10. R. W. Van Der Waall, Onn-isoclinic embeddings of groups. J. Pure Appl. Algebra52, 165–171 (1988).

    Google Scholar 

  11. J. H. C. Whitehead, On adding relations to homotopy groups. Ann. of Math.42, 409–428 (1941).

    Google Scholar 

  12. J. H. C. Whitehead, Combinatorial homotopy II. Bull. Amer. Math. Soc.55, 453–496 (1949).

    Google Scholar 

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The research leading to this paper was supported by a Postdoctoral Fellowship from the U.K. Science and Engineering Research Council.

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Gilbert, N.D. Central extensions of groups and an embedding question of J. H. C. Whitehead. Arch. Math 58, 114–120 (1992). https://doi.org/10.1007/BF01191874

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