Finitely generated groups, $p$-adic analytic groups, and Poincaré series
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- by Marcus P. F. du Sautoy PDF
- Bull. Amer. Math. Soc. 23 (1990), 121-126
References
- J. Denef, The rationality of the Poincaré series associated to the $p$-adic points on a variety, Invent. Math. 77 (1984), no. 1, 1–23. MR 751129, DOI 10.1007/BF01389133
- J. Denef, On the evaluation of certain $p$-adic integrals, Séminaire de théorie des nombres, Paris 1983–84, Progr. Math., vol. 59, Birkhäuser Boston, Boston, MA, 1985, pp. 25–47. MR 902824
- J. Denef and L. van den Dries, $p$-adic and real subanalytic sets, Ann. of Math. (2) 128 (1988), no. 1, 79–138. MR 951508, DOI 10.2307/1971463 [DduSMS] J. Dixon, M. P. F. du Sautoy, A. Mann and D. Segal, Analytic pro-p groups, London Math. Society Lecture Notes (to appear).
- F. J. Grunewald, D. Segal, and G. C. Smith, Subgroups of finite index in nilpotent groups, Invent. Math. 93 (1988), no. 1, 185–223. MR 943928, DOI 10.1007/BF01393692
- Jun-ichi Igusa, Complex powers and asymptotic expansions. I. Functions of certain types, J. Reine Angew. Math. 268(269) (1974), 110–130. MR 347753, DOI 10.1515/crll.1974.268-269.110
- Jun-Ichi Igusa, Some observations on higher degree characters, Amer. J. Math. 99 (1977), no. 2, 393–417. MR 441933, DOI 10.2307/2373827
- Michel Lazard, Groupes analytiques $p$-adiques, Inst. Hautes Études Sci. Publ. Math. 26 (1965), 389–603 (French). MR 209286
- Alexander Lubotzky and Avinoam Mann, On groups of polynomial subgroup growth, Invent. Math. 104 (1991), no. 3, 521–533. MR 1106747, DOI 10.1007/BF01245088
- Avinoam Mann and Dan Segal, Uniform finiteness conditions in residually finite groups, Proc. London Math. Soc. (3) 61 (1990), no. 3, 529–545. MR 1069514, DOI 10.1112/plms/s3-61.3.529
- Joseph Oesterlé, Réduction modulo $p^{n}$ des sous-ensembles analytiques fermés de $\textbf {Z}^{N}_{p}$, Invent. Math. 66 (1982), no. 2, 325–341 (French). MR 656627, DOI 10.1007/BF01389398
- Jean-Pierre Serre, Quelques applications du théorème de densité de Chebotarev, Inst. Hautes Études Sci. Publ. Math. 54 (1981), 323–401 (French). MR 644559
Additional Information
- Journal: Bull. Amer. Math. Soc. 23 (1990), 121-126
- MSC (1985): Primary 22E20; Secondary 03C10, 11M41, 20E18, 20F99
- DOI: https://doi.org/10.1090/S0273-0979-1990-15916-6
- MathSciNet review: 1021793