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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer-Verlag

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DOI

10.1007/s00374-005-0029-6

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1432-1823

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On profinite groups in which commutators are cover

Authors: Cristina Acciarri Pavel Shumyatsky
Publish Date: 2012/08/03
Volume: 274, Issue: 1-2, Pages: 239-248
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Abstract

For a family of group words w we show that if G is a profinite group in which all wvalues are contained in a union of finitely many subgroups with a prescribed property then the verbal subgroup wG has the same property as well In particular we show this in the case where the subgroups are periodic or of finite rank If G contains finitely many subgroups G 1 G 2 G s of finite exponent e whose union contains all γ k values in G it is shown that γ k G has finite e k sbounded exponent If G contains finitely many subgroups G 1 G 2 G s of finite rank r whose union contains all γ k values it is shown that γ k G has finite k r sbounded rank

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  2. Constant mean curvature graphs on exterior domains of the hyperbolic plane
  3. On weighted critical imbeddings of Sobolev spaces
  4. Mixed Hessian inequalities and uniqueness in the class $$\mathcal {E}(X,\omega ,m)$$
  5. Generalized Liouville differentiation, truncated hypersingular integrals and K -functionals
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  9. Real K 3 surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Φ-function
  10. Positive semidefinite diagonal minus tail forms are sums of squares
  11. On the measures of large entropy on a positive closed current
  12. Fano varieties in index one Fano complete intersections
  13. Families over special base manifolds and a conjecture of Campana
  14. On the holomorphic structure of G -orbits in compact hermitian symmetric spaces
  15. Derivations, the Lawrence–Sullivan interval and the Fiorenza–Manetti mapping cone
  16. On the geometry of model almost complex manifolds with boundary
  17. The eta invariant in the doubly Kählerian conformally compact Einstein case
  18. Injectivity radius and diameter of the manifolds of flags in the projective planes
  19. On the invariant distributions of $$C^2$$ circle diffeomorphisms of irrational rotation number
  20. On Hörmander’s solution of the $$\bar{\partial }$$-equation. I
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  22. Harmonic maps of finite uniton number into G 2
  23. On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms
  24. On irregular binomial D -modules
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  26. Harmonicity of sections of sphere bundles
  27. Cluster categories of type $${\mathbb {A}}_\infty ^\infty $$ and triangulations of the infinite strip
  28. A lower bound on Seshadri constants of hyperplane bundles on threefolds
  29. Saturated fusion systems over $$\mathcal {A}_2$$-groups
  30. Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature
  31. On newforms for Kohnen plus spaces
  32. Cumulants in noncommutative probability theory I. Noncommutative exchangeability systems
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