Rational subgroups of biautomatic groups (Q1177434)
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scientific article; zbMATH DE number 20457
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational subgroups of biautomatic groups |
scientific article; zbMATH DE number 20457 |
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Rational subgroups of biautomatic groups (English)
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26 June 1992
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The object of this article is to initiate the study of the subgroup structure of automatic groups. The authors show two main results: Centralizers of finite subsets in biautomatic groups are themselves biautomatic. Every polycyclic subgroup of a biautomatic group is Abelian-by-finite. The work includes a brief section on open problems.
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automatic groups
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centralizers of finite subsets
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biautomatic groups
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polycyclic subgroups
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Abelian-by-finite groups
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