Elsevier

Journal of Algebra

Volume 326, Issue 1, 15 January 2011, Pages 227-237
Journal of Algebra

On verbal subgroups of adelic groups

https://doi.org/10.1016/j.jalgebra.2009.03.024Get rights and content
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Abstract

Let G be a closed subgroup of pGLn(Zp). If G is finitely generated as a profinite group and has no infinite virtually abelian quotients then every verbal subgroup in G is closed.

Keywords

Verbal width
Profinite groups
Adelic groups

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