Permanence criteria for semi-free profinite groups

Mathematische Annalen

Volumn 348, Issue 3, 2010, Pages 539-563

  Bary Soroker, Lior ^a   Haran, Dan ^b   Harbater, David ^c  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955924572     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-010-0484-8     Document Type: Article

References (23)

1. Binz E., Neukirch J., Wenzel G. H.: A subgroup theorem for free products of pro-finite groups. J. Algebra 19, 104-109 (1971).
2. Bary-Soroker L.: Diamond theorem for a finitely generated free profinite group. Math. Ann. 336(4), 949-961 (2006).
3. Colliot-Thélène, J.-L., Ojanguren, M., Parimala, R.: Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes. In: Algebra, Arithmetic and Geometry, Part I, II (Mumbai, 2000). Tata Inst. Fund. Res. Stud. Math., vol. 16, pp. 185-217. Tata Institute of Fundamental Research, Bombay (2002).
4. Fried, M. D., Jarden, M.: Field arithmetic, 2nd edn, vol. 11 [revised and enlarged by Moshe Jarden, Ergebnisse der Mathematik (3)]. Springer, Heidelberg (2005).
5. Haran D.: Free subgroups of free profinite groups. J. Group Theory 2(3), 307-317 (1999).
6. Haran D., Jarden M.: The absolute Galois group of a pseudo real closed field. Annali Scuola Normale Superiore Pisa 4, 449-489 (1985).
7. Haran D., Jarden M.: Regular split embedding problems over complete valued fields. Forum Math. 10, 329-351 (1998).
8. Haran D., Jarden M.: The absolute Galois group of C(x). Pac. J. Math. 196, 445-459 (2000).
9. Harbater D.: Fundamental groups and embedding problems in characteristic p. Contemp. Math. 186, 353-369 (1995).
10. Harbater D.: On function fields with free absolute Galois groups. Crelle's J. 632, 85-103 (2009).
11. Harbater D., Stevenson K. F.: Local Galois theory in dimension two. Adv. Math. 198(2), 623-653 (2005).
12. Harbater, D., Stevenson, K. F.: Local Galois theory in dimension two, 2nd edn. arXiv: 0907. 3082 (2009).
13. Jarden M.: A Karrass-Solitar theorem for profinite groups. J. Group Theory 9(2), 139-146 (2006).
14. Jarden, M.: Algebraic Patching (2010, to appear).
15. Jarden M., Lubotzky A.: Hilbertian fields and free profinite groups. J. Lond. Math. Soc. (2) 46(2), 205-227 (1992).
16. Jarden M., Lubotzky A.: Random normal subgroups of free profinite groups. J. Group Theory 2(2), 213-224 (1999).
17. Katz N.: Local-to-global extensions of representations of fundamental groups. Ann. l'inst. Fourier 36, 69-106 (1986).
18. Mel'nikov, O. V.: Characterization of accessible subgroups of free profinite groups. Dokl. Akad. Nauk BSSR 22(8), 677-680, 763 (1978).
19. Pop F.: Étale Galois covers of affine smooth curves. Invent. Math. 120, 555-578 (1995).
20. Pop F.: Embedding problems over large fields. Ann. Math. 144, 1-34 (1996).
21. Ribes, L., Steinberg, B.: A Wreath Product Approach to Classical Subgroup Theorems. Enseign. Math. (to appear).
22. Ribes, L., Zalesskii, P.: Profinite Groups. In: Ergebnisse der Mathematik (3), vol. 40. Springer, Heidelberg (2005).
23. Ribes L., Stevenson K., Zalesskii P.: On quasifree profinite groups. Proc. Am. Math. Soc. 135, 2669-2676 (2007).