INVESTIGADORES
BARMAK jonathan Ariel
artículos
Título:
A new test for asphericity and diagrammatic reducibility of group presentations
Autor/es:
BARMAK, JONATHAN ARIEL; ELIAS GABRIEL MINIAN
Revista:
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Editorial:
ROYAL SOC EDINBURGH
Referencias:
Lugar: Edinburgo; Año: 2018
ISSN:
0308-2105
Resumen:
We present a new test for studying asphericity and diagrammatic reducibilityof 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.
