A structural property concerning abstract commensurability of subgroups

Further properties of a group Γ 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 Γ have isomorphic subgroups of finite index and that the generalized word problem for Γ is sol...

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Autors principals: Grigorchuk, R, Wilson, J
Format: Journal article
Idioma:English
Publicat: 2003
Descripció
Sumari:Further properties of a group Γ 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 Γ have isomorphic subgroups of finite index and that the generalized word problem for Γ is soluble.