Subgroup theorem for valuated groups and the CSA property. (Q986061)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subgroup theorem for valuated groups and the CSA property. |
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Subgroup theorem for valuated groups and the CSA property. (English)
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11 August 2010
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A valuated group with normal forms is a group equipped with an integer-valued length function satisfying some of Lyndon's axioms and an additional axiom considered by Hurley. Combinatorial group theory is developed at this level of generality in the present paper. A version of Grushko-Neumann's theorem is given for valuated groups with normal forms. Centralizers and the CSA property are also studied in such groups.
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combinatorial group theory
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subgroup theorems
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free products
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HNN-extensions
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valuated groups with normal forms
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Grushko-Neumann theorem
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centralizers
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