Residually finite groups

  • Dan Segal
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First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 1456)

Keywords

Finite Group Finite Index Finite Rank Soluble Group Finite Soluble Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. [D]
    J. Denef, ‘The rationality of the Poincaré series associated to the p-adic points on a variety’, Invent. Math. 77 (1984), 1–23.MathSciNetCrossRefMATHGoogle Scholar
  2. [DvD]
    J. Denef and L. van den Dries, ‘p-adic and real subanalytic sets’, Ann. Math. 128 (1988), 79–138.MathSciNetCrossRefMATHGoogle Scholar
  3. [DMSS]
    J.D. Dixon, A. Mann, M. du Sautoy and D. Segal, Analytic pro-p groups, to appear.Google Scholar
  4. [GSS]
    F.J. Grunewald, D. Segal and G.C. Smith, ‘Subgroups of finite index in nilpotent groups’, Invent. Math. 93 (1988), 185–223.MathSciNetCrossRefMATHGoogle Scholar
  5. [L1]
    M. Lazard, ‘Groups analytiques p-adiques’, Publ. Math. IHES 26 (1965), 389–603.MathSciNetMATHGoogle Scholar
  6. [L2]
    A. Lubotzky, ‘A group-theoretic characterization of linear groups’, J. Algebra 113 (1988), 207–214.MathSciNetCrossRefMATHGoogle Scholar
  7. [LM1]
    A. Lubotzky and A. Mann, ‘Powerful p-groups 2: p-adic analytic groups’, J. Algebra 105 (1987), 506–515.MathSciNetCrossRefMATHGoogle Scholar
  8. [LM2]
    A. Lubotzky and A. Mann, ‘Residually finite groups of finite rank’, Math. Proc. Cambridge Philos. Soc. 106 (1989), 385–388.MathSciNetCrossRefMATHGoogle Scholar
  9. [LM3]
    A. Lubotzky and A. Mann, ‘Groups of polynomial subgroup growth’, Invent. Math. (to appear).Google Scholar
  10. [M]
    A. Mann, ’some applications of powerful p-groups’, in Groups—St Andrews 1989 (to appear).Google Scholar
  11. [MS]
    A. Mann and D. Segal, ‘Uniform finiteness conditions in residually finite groups’, Proc. London Math. Soc. (to appear).Google Scholar
  12. [MVW]
    C.R. Matthews, L.N. Vaserstein and B. Weisfeiler, ‘Congruence properties of Zariski-dense subgroups I’, Proc. London Math. Soc. 48 (1984), 514–532.MathSciNetCrossRefMATHGoogle Scholar
  13. [N]
    M. Nori, ‘On subgroups of GL n(F p)’, Invent. Math. 88 (1987), 257–275.MathSciNetCrossRefMATHGoogle Scholar
  14. [R]
    D.J.S. Robinson, ‘A note on groups of finite rank’, Compositio Math. 31 (1969), 240–246.MathSciNetMATHGoogle Scholar
  15. [dS]
    M. du Sautoy, ‘Finitely generated groups, p-adic analytic groups and Poincaré series’, Bull. Amer. Math. Soc. (to appear).Google Scholar
  16. [S1]
    D. Segal, ‘Subgroups of finite index in soluble groups, I’, in Groups—St Andrews 1985, ed. by C.M. Campbell and E.F. Robertson, London Math. Soc. Lecture Note Ser. 121, pp. 307–314 (Cambridge University Press, Cambridge, 1986).Google Scholar
  17. [S2]
    D. Segal, ‘Subgroups of finite index in soluble groups, II’, in Groups—St Andrews 1985, ed. by C.M. Campbell and E.F. Robertson, London Math. Soc. Lecture Note Ser. 121, pp. 315–319 (Cambridge University Press, Cambridge, 1986).Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Dan Segal
    • 1
  1. 1.All Souls CollegeOxfordGreat Britain

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