Free products of sofic groups with amalgamation over monotileably amenable groups (Q2883477)
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scientific article; zbMATH DE number 6032510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Free products of sofic groups with amalgamation over monotileably amenable groups |
scientific article; zbMATH DE number 6032510 |
Statements
10 May 2012
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sofic group
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amalgamation, monotileably amenable group
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math.GR
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math.DS
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math.OA
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0.9027162
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0.8993222
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0.8972136
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0.8936323
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0.8931066
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0.8895153
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0.88948053
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0.88853073
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Free products of sofic groups with amalgamation over monotileably amenable groups (English)
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Following M. Gromov, a group is sofic if it can be approximated in some weak sense by permutations. The class of sofic groups is closed under the usual operations like taking direct products, subgroups, inverse limits, direct limits, free products, and extension by amenable groups. In the paper under review the authors prove that the class of sofic groups is also closed under taking free products with amalgamation over monotileably amenable subgroups (Theorem 3.4). Consequently, so are HNN extensions of sofic groups (Corollary 3.6).
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