Weak Engel Conditions on Linear Groups

Autor: B.A.F. Wehrfritz
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Advances in Group Theory and Applications, Vol 7, Pp 143-157 (2019)
Druh dokumentu: article
ISSN: 2499-1287
DOI: 10.32037/agta-2019-006
Popis: We study several weak Engel conditions on linear groups, starting from the “almost Engel” condition of Khukhro and Shumyatsky. There the groups were Engel modulo certain finite subsets. Here we replace “finite subsets” by “Chernikov subgroups” in one case and “polycyclic-by-finite subgroups” in another. We also include a shorter proof of a theorem of Shumyatsky characterizing linear almost Engel groups.
Databáze: Directory of Open Access Journals