Artículo
Barmak, J.A.; Minian, E.G. "A new test for asphericity and diagrammatic reducibility of group presentations" (2019) Proceedings of the Royal Society of Edinburgh Section A: Mathematics
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Abstract:
We present a new test for studying asphericity and diagrammatic reducibility of group presentations. Our test can be applied to prove diagrammatic reducibility in cases where the classical weight test fails. We use this criterion to generalize results of J. Howie and S.M. Gersten on asphericity of LOTs and of Adian presentations, and derive new results on solvability of equations over groups. We also use our methods to investigate a conjecture of S.V. Ivanov related to Kaplansky's problem on zero divisors: we strengthen Ivanov's result for locally indicable groups and prove a weak version of the conjecture. © 2019 Royal Society of Edinburgh.
Registro:
| Documento: | Artículo |
| Título: | A new test for asphericity and diagrammatic reducibility of group presentations |
| Autor: | Barmak, J.A.; Minian, E.G. |
| Filiación: | Departamento de Matemática-IMAS FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Palabras clave: | Adian presentations; Asphericity; DR presentations; labelled oriented trees; locally indicable groups; weight test |
| Año: | 2019 |
| DOI: | http://dx.doi.org/10.1017/prm.2018.126 |
| Título revista: | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
| Título revista abreviado: | Proc. R. Soc. Edinburgh Sect. A Math. |
| ISSN: | 03082105 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03082105_v_n_p_Barmak |
Citas:
---------- APA ----------
Barmak, J.A. & Minian, E.G. (2019) . A new test for asphericity and diagrammatic reducibility of group presentations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics.http://dx.doi.org/10.1017/prm.2018.126
---------- CHICAGO ----------
Barmak, J.A., Minian, E.G. "A new test for asphericity and diagrammatic reducibility of group presentations" . Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2019).http://dx.doi.org/10.1017/prm.2018.126
---------- MLA ----------
Barmak, J.A., Minian, E.G. "A new test for asphericity and diagrammatic reducibility of group presentations" . Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2019.http://dx.doi.org/10.1017/prm.2018.126
---------- VANCOUVER ----------
Barmak, J.A., Minian, E.G. A new test for asphericity and diagrammatic reducibility of group presentations. Proc. R. Soc. Edinburgh Sect. A Math. 2019.http://dx.doi.org/10.1017/prm.2018.126
