Commutators in special linear groups over certain division rings

• Datum: 2023
• Hauptverfasser: Bien, M. H., Lam, P. L. P., Mai, V. T.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2023
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6872
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 We consider the question whether an element of a special linear group  ${\rm SL}_m(D)$ of degree $m\ge 1$ over a division ring $D$  is a commutator. Our first aim  is to show that if the division ring $D$ is algebraically closed and finit...