How to generalize known results on equations over groups
| dc.creator | Klyachko, Anton A. | |
| dc.date | 2004-06-18 | |
| dc.date | 2006-10-12 | |
| dc.date.accessioned | 2026-07-07T06:36:52Z | |
| dc.date.available | 2026-07-07T06:36:52Z | |
| dc.description | The known facts about solvability of equations over groups are considered from a more general point of view. A generalized version of the theorem about solvability of unimodular equations over torsion-free groups is proved. In a special case, this generalized version become a multivariable variant of this theorem. For unimodular equations over torsion free groups, we prove an analogue of Magnus's Freiheitssatz, which asserts that there exists a solution with good behavior with respect to free factors of the initial group. | |
| dc.description | 9 pages. V.4: minor corrections in the proof of the main theorem (p.5). Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm | |
| dc.identifier | https://arxiv.org/abs/math/0406382 | |
| dc.identifier | http://arxiv.org/abs/math/0406382 | |
| dc.identifier | Mathematical Notes, 2006, 79:3, 377-386. Translated from Matematicheskie Zametki, 2006, 79:3, 409-419 | |
| dc.identifier | doi:10.1007/s11006-006-0042-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100227 | |
| dc.subject | Group Theory | |
| dc.subject | 20e06;20f05 | |
| dc.title | How to generalize known results on equations over groups | |
| dc.type | text |