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Finitely generated groups, $p$-adic analytic groups, and Poincaré series
Author(s):
Marcus P. F.
du Sautoy
Journal:
Bull. Amer. Math. Soc.
23
(1990),
121-126.
MSC (1985):
Primary 22E20;
Secondary 03C10, 11M41, 20E18, 20F99
MathSciNet review:
1021793
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Additional information
References:
- [D 1] J. Denef, The rationality of the Poincaré series associated to the p-adic points on a variety, Invent. Math. 77 (1984), 1-23. MR 751129
- [D 2] J. Denef, On the evaluation of certain p-adic integrals, Seminaire de Théorie des Nombres, Paris 1983-4, Progr. Math. 59 (1985), 25-47. MR 902824
- [DvdD] J. Denef and L. van den Dries, P-adic and real subanalytic sets, Ann. of Math. 128(1988), 79-138. MR 951508
- [DduSMS] J. Dixon, M. P. F. du Sautoy, A. Mann and D. Segal, Analytic pro-p groups, London Math. Society Lecture Notes (to appear).
- [GSS] F. J. Grunewald, D. Segal, and G. C. Smith, Subgroups of finite index in nilpotent groups, Invent. Math. 93 (1988), 185-223. MR 943928
- [I 1] J.-I. Igusa, Complex powers and asymptotic expansions I, J. Reine Angew. Math. 268/269 (1974), 110-130. MR 347753
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- [Lz] M. Lazard, Groupes analytiques p-adiques, Publ. Math. Inst. Hautes Études Sci. 26 (1965), 389-603. MR 209286
- [LM] A. Lubotzky and A. Mann, On groups of polynomial subgroup growth, Invent. Math, (to appear). MR 1106747
- [MS] A. Mann and D. Segal, Uniform finiteness conditions in residually finite groups, Proc. London Math. Soc. (to appear). MR 1069514
- [O] J. Oesterlé, Réduction modulo p, Invent. Math. 66 (1982), 325-341. MR 656627
- [S] J.-P. Serre, Quelques applications du théorème de densité de Chebotarev, Publ. Math. Inst. Hautes Ètudes Sci. 54 (1981), 123-202. MR 644559
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15916-6
PII:
S 0273-0979(1990)15916-6
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