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Journal of the London Mathematical Society (1)

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A STRUCTURAL PROPERTY CONCERNING ABSTRACT COMMENSURABILITY OF SUBGROUPS
R. I. GRIGORCHUK, J. S. WILSON
Journal:

Journal of the London Mathematical Society / Volume 68 / Issue 3 / December 2003

Published online by Cambridge University Press:

17 November 2003, pp. 671-682

Print publication:

December 2003
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Further properties of a group $\Gamma$ introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of $\Gamma$ have isomorphic subgroups of finite index and that the generalized word problem for $\Gamma$ is soluble.