Galois representations with open image

Ralph Greenberg1
1Department of Mathematics, University of Washington, Seattle, WA, 98195-4350, USA

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Tài liệu tham khảo

Boston, N.: Explicit deformations of Galois representations. Invent. Math. 103, 181–196 (1991)

Dixon, J.D., du Sautoy, M.P.F., Mann, A., Segal, D.: Analytic pro- $$p$$ p groups. London Mathematical Society. In: Lecture Note Series, vol. 157. Cambridge University Press, Cambridge (1991)

Fujii, S.: On the maximal pro- $$p$$ p extension unramified outside p of an imaginary quadratic field. Osaka J. Math. 45, 41–60 (2008)

Gorenstein, D.: Finite Groups. Chelsea, New York (1980)

Greenberg, R.: On a certain $$\ell $$ ℓ -adic representation. Invent. Math. 21, 117–124 (1973)

Greenberg, R.: Iwasawa theory, projective modules, and modular representations. In: Memoirs of the American Mathematical Society, vol. 211(992) (2011)

Greenberg, R.: The image of Galois representations attached to elliptic curves with an isogeny. Am. J. Math. 134, 1167–1196 (2012)

Hamblen, S.: Lifting $$n$$ n -dimensional Galois representations. Can. J. Math. 60, 1028–1049 (2008)

Herfort, W.N., Ribes, L.: On automorphisms of free pro- $$p$$ p -groups I. Proc. Am. Math. Soc. 108, 287–295 (1990)

Hubbard, D.: The nonexistence of certain free pro- $$p$$ p . Ph. D. thesis, University of Washington (1996)

James, G., Kerber, A.: The representation theory of the symmetric group. In: Encyclopedia of Mathematics and Its Applications, vol. 16. Addison-Wesley, Boston (1981)

James, G., Liebeck, M.: Representations and Characters of Groups. Cambridge University Press, Cambridge (2001)

Jaulent, J.F., Nguyen Quang Do, T.: Corps $$p$$ p -réguliers, et ramification restreinte. In: Séminaire de Théorie des Nombres de Bordeaux, Exposé 10, 10-01–10-26 (1987–1988)

LaMacchia, S.E.: Polynomials with Galois group PSL $$(2,7)$$ ( 2 , 7 ) . Commun. Algebra 8, 983–992 (1980)

Mazur, B.: Deforming Galois representations in Galois groups over $${\bf Q}$$ Q . Math. Sci. Res. Inst. Publ. 16, 385–437 (Springer, New York) (1989)

Minardi, J.: Iwasawa modules for $$\mathbf{Z}_p^d$$ Z p d -extensions of algebraic number fields. Ph. D. thesis, University of Washington (1986)

Movahhedi, A.: Sur les $$p$$ p -extensions des corps $$p$$ p -rationnels. Math. Nachr. 149, 163–176 (1990)

Movahhedi, A., Nguyen Quang Do, T.: Sur l’arithmétique des corps de nombres $$p$$ p -rationnels. Prog. Math. 81, 155–200 (Birkhauser) (1990)

Nguyen, T., Quang Do, T.: Sur la $$\mathbf{Z}_p$$ Z p -torsion de certains modules Galoisiens. Ann. Inst. Fourier 36, 27–46 (1986)

Neukirch, J., Schmidt, A., Wingberg, K.: Cohomology of number fields. In: Grundlehren der Mathematischen Wissenschaften, vol. 323. Springer, New York (2000)

Serre, J.P.: Linear representations of finite groups. In: Graduate Texts in Mathematics. Springer, New York (1977)

Shafarevich, I.R.: Extensions with given points of ramification. Am. Math. Soc. Transl. 59, 128–149 (1966)

Upton, M.G.: Galois representations attached to Picard curves. J. Algebra 322, 1038–1059 (2009)

Washington, L.C.: Graduate Texts in Mathematics. Introduction to cyclotomic fields, 2nd edn. Springer, New York (1997)

Yamagishi, M.: A note on free pro-p-extensions of algebraic number fields. J. Théor. Nr. Bordx. 5, 165–178 (1993)