Isomorphism versus commensurability for a class of finitely presented groups
We construct a class of finitely presented groups where the isomorphism problem is solvable but the commensurability problem is unsolvable. Conversely, we construct a class of finitely presented groups within which the commensurability problem is solvable but the isomorphism problem is unsolvable. T...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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2014-03.
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| Online Access: | Get fulltext Get fulltext |
| LEADER | 00954 am a22001693u 4500 | ||
|---|---|---|---|
| 001 | 338952 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Arzhantseva, Goulnara |e author |
| 700 | 1 | 0 | |a Lafont, Jean-Francois |e author |
| 700 | 1 | 0 | |a Minasyan, Ashot |e author |
| 245 | 0 | 0 | |a Isomorphism versus commensurability for a class of finitely presented groups |
| 260 | |c 2014-03. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/338952/1/isom-6.pdf | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/338952/2/isom_7.pdf | ||
| 520 | |a We construct a class of finitely presented groups where the isomorphism problem is solvable but the commensurability problem is unsolvable. Conversely, we construct a class of finitely presented groups within which the commensurability problem is solvable but the isomorphism problem is unsolvable. These are first examples of such a contrastive complexity behaviour with respect to the isomorphism problem. | ||
| 540 | |a accepted_manuscript | ||
| 655 | 7 | |a Article | |