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On the efficiency of some direct powers of groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1456)

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References

  1. C.M. Campbell, T. Kawamata, I. Miyamoto, E. F. Robertson and P. D. Williams, ‘Deficiency zero presentations for certain perfect groups’, Proc. Roy. Soc. Edinburgh 103A (1986), 63–71.

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  2. C.M. Campbell, E.F. Robertson and P.D. Williams, ‘Efficient presentations of the groups PSL(2,p) × PSL(2,p), p prime’, J. London Math. Soc. (to appear).

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  3. D.L. Johnson and E.F. Robertson, ‘Finite groups of deficiency zero’, in Homological Group Theory, ed. by C.T.C. Wall, London Math. Soc. Lecture Note Ser 36, pp. 275–289 (Cambridge University Press, Cambridge, 1979).

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  4. P.E. Kenne, ‘Presentations for some direct products of groups’, Bull. Austral. Math. Soc. 28 (1983), 131–133.

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  5. B.H. Neumann, ‘Some finite groups with few defining relations’, J. Austral. Math. Soc. Ser. A 38 (1985), 230–240.

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  6. I. Schur, ‘Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen’, J. Reine Angew. Math. 132 (1907), 85–137.

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  7. R.G. Swan, ‘Minimal resolutions for finite groups’, Topology 4 (1965), 193–208.

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  8. J. Wiegold, ‘The Schur multiplier: an elementary approach’, in Groups—St Andrews 1981, ed. by C.M. Campbell and E.F. Robertson, London Math. Soc. Lecture Note Ser. 71, pp. 137–154 (Cambridge University Press, Cambridge, 1982).

    CrossRef  Google Scholar 

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© 1990 Springer-Verlag

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Campbell, C.M., Robertson, E.F., Williams, P.D. (1990). On the efficiency of some direct powers of groups. In: Kovács, L.G. (eds) Groups—Canberra 1989. Lecture Notes in Mathematics, vol 1456. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100734

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  • DOI: https://doi.org/10.1007/BFb0100734

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  • Online ISBN: 978-3-540-46900-1

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