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