Geodesic
Finite index subgroups and verbal subgroups in profinite groups
Séminaire Bourbaki, volume 2009/2010, exposés 1012-1026, Astérisque, no. 339 (2011), Exposé no. 1026, 22 p.

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl 
Wilson, John S. Finite index subgroups and verbal subgroups in profinite groups, dans Séminaire Bourbaki, volume 2009/2010, exposés 1012-1026, Astérisque, no. 339 (2011), Exposé no. 1026, 22 p.. http://geodesic.mathdoc.fr/item/AST_2011__339__387_0/
@incollection{AST_2011__339__387_0,
     author = {Wilson, John S.},
     title = {Finite index subgroups and verbal subgroups in profinite groups},
     booktitle = {S\'eminaire Bourbaki, volume 2009/2010, expos\'es 1012-1026},
     series = {Ast\'erisque},
     note = {talk:1026},
     pages = {387--408},
     year = {2011},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {339},
     mrnumber = {2906362},
     zbl = {1356.20014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AST_2011__339__387_0/}
}
TY  - CHAP
AU  - Wilson, John S.
TI  - Finite index subgroups and verbal subgroups in profinite groups
BT  - Séminaire Bourbaki, volume 2009/2010, exposés 1012-1026
AU  - Collectif
T3  - Astérisque
N1  - talk:1026
PY  - 2011
SP  - 387
EP  - 408
IS  - 339
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/AST_2011__339__387_0/
LA  - en
ID  - AST_2011__339__387_0
ER  - 
%0 Book Section
%A Wilson, John S.
%T Finite index subgroups and verbal subgroups in profinite groups
%B Séminaire Bourbaki, volume 2009/2010, exposés 1012-1026
%A Collectif
%S Astérisque
%Z talk:1026
%D 2011
%P 387-408
%N 339
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/AST_2011__339__387_0/
%G en
%F AST_2011__339__387_0

[1] R. G. Burns & Y. Medvedev - "Analytic relatively free pro-p groups", J. Group Theory 7 (2004), p. 533-541. | MR | Zbl | DOI

[2] G. A. Fernandéz-Alcober & M. Morigi - "Outer commutator words are uniformly concise", J. London Math. Soc. (2010), doi: 10.1112/jlms/jdq047. | MR | Zbl

[3] B. Hartley - "Subgroups of finite index in profinite groups", Math. Z. 168 (1979), p. 71-76. | MR | Zbl | EuDML | DOI

[4] D. F. Holt - "Enumerating perfect groups", J. London Math. Soc. 39 (1989), p. 67-78. | MR | Zbl | DOI

[5] S. V. Ivanov - "P. Hall's conjecture on the finiteness of verbal subgroups", Izv. Vyssh. Uchem. Zaved. 305 (1989), p. 60-70. | Zbl | MR

[6] A. Jaikin-Zapirain - "On the verbal width of finitely Generated pro-p groups", Rev. Mat. Iberoam. 24 (2008), p. 617-630. | MR | Zbl | EuDML | DOI

[7] M. Jarden & A. Lubotzky - "Elementary equivalence of profinite groups", Bull. London Math. Soc. 40 (2008), p. 887-896. | MR | Zbl | DOI

[8] D. Lascar - "Autour de la propriété du petit indice", Proc. London Math. Soc. 62 (1991), p. 25-53. | MR | Zbl | DOI

[9] M. W. Liebeck, E. A. O'Brien, A. Shalev & P. H. Tiep - "The Ore conjecture", preprint. | MR | Zbl

[10] M. W. Liebeck & A. Shalev - "Diameters of finite simple groups: sharp bounds and applications", Ann. of Math. 154 (2001), p. 383-406. | MR | Zbl | DOI

[11] C. Martinez & E. I. Zelmanov - "Products of powers in finite simple groups", Israel J. Math. 96 (1996), p. 469-479. | MR | Zbl | DOI

[12] N. Nikolov - "Strange images of profinite groups", preprint arXiv:0901.0244.

[13] N. Nikolov & D. Segal - "Finite index subgroups in profinite groups", C. R. Math. Acad. Sci. Paris 337 (2003), p. 303-308. | MR | Zbl | DOI

[14] N. Nikolov & D. Segal, "On finitely generated profinite groups. I. Strong completeness and uniform bounds", Ann. of Math. 165 (2007), p. 171-238. | MR | Zbl | DOI

[15] N. Nikolov & D. Segal, "On finitely generated profinite groups. II. Products in quasisimple groups", Ann. of Math. 165 (2007), p. 239-273. | MR | Zbl | DOI

[16] N. Nikolov & D. Segal, "Powers in finite groups", preprint arXiv:0909.4639. | MR | Zbl | DOI

[17] S. Oates & M. B. Powell - "Identical relations in finite groups", J. Algebra 1 (1964), p. 11-39. | MR | Zbl | DOI

[18] F. Point - "Ultraproducts and Chevalley groups", Arch. Math. Logic 38 (1999), p. 355-372. | MR | Zbl | DOI

[19] V. A. Roman'Kov - "The width of verbal subgroups of solvable groups", Algebra and Logik 21 (1982), p. 41-49. | Zbl | DOI

[20] J. Saxl & J. S. Wilson - "A note on powers in simple groups", Math. Proc. Cambridge Philos. Soc. 122 (1997), p. 91-94. | MR | Zbl | DOI

[21] D. Segal - "On verbal subgroups of adelic groups", J. Algebra 326 (2011), p. 227-237. | MR | Zbl | DOI

[22] M. G. Smith & J. S. Wilson - "On subgroups of finite index in compact Hausdorff groups", Arch. Math. (Basel) 80 (2003), p. 123-129. | MR | Zbl | DOI

[23] J. S. Wilson - "Two-generator conditions for residually finite groups", Bull. London Math. Soc. 23 (1991), p. 239-248. | MR | Zbl | DOI

[24] J. S. Wilson, "On simple pseudofinite groups", J. London Math. Soc. 51 (1995), p. 471-490. | MR | Zbl | DOI

[25] J. S. Wilson, Profinite groups, London Mathematical Society Monographs, vol. 19, The Clarendon Press, Oxford Univ. Press, 1998. | MR | Zbl

[26] J. S. Wilson, "Finite axiomatization of finite soluble groups", J. London Math. Soc. 74 (2006), p. 566-582. | MR | Zbl | DOI

[27] J. S. Wilson, "First-order characterization of the radical of a finite group", J. Symbolic Logic 74 (2009), p. 1429-1435. | MR | Zbl | DOI

[28] E. I. Zel'Manov - "Solution of the restricted Burnside problem for groups of odd exponent", Math. USSR Izvestiya 36 (1991), p. 41-60. | Zbl | DOI

[29] E. I. Zel'Manov, "Solutions of the restricted Burnside problem for 2-groups", Mat. Sb. 182 (1991), p. 568-592. | Zbl

[29] E. I. Zel'Manov, "Solutions of the restricted Burnside problem for 2-groups", translation in Math. USSR-Sb 72 (1992), p. 543-565. | Zbl | DOI