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A Structural Property Concerning Abstract Commensurability of Subgroups
Authors:Grigorchuk  R I; Wilson  J S
Institution:Steklov Mathematical Institute Gubkina Street 8, Moscow 117966, Russia
School of Mathematics and Statistics, University of Birmingham Edgbaston, Birmingham B15 2TT
Abstract:Further properties of a group {Gamma} introduced by the first authorin 1980 (sometimes called the first Grigorchuk group) are established.These are notably that any two infinite finitely generated subgroupsof {Gamma} have isomorphic subgroups of finite index and that the generalizedword problem for {Gamma} is soluble.
Keywords:
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