Almost Engel linear groups

2016/10/10 by Pavel Shumyatsky, Shumyatsky, Pavel · 1 citation
Mathematics · #20E99 #20F45 #20H20 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E99 #msc:20F45 #msc:20H20

paper · pdf · doi:10.48550/arxiv.1610.03126

arxiv created 2016/10/10 · arxiv updated 2016/10/12

Abstract

We prove that if a linear group G is almost Engel, then G is finite-by-hypercentral. If G is almost nil, then G is finite-by-nilpotent.

Cited by

• Linear groups with almost right Engel elements

Related

• Almost Engel compact groups
• Compact groups all elements of which are almost right Engel
• Groups generated by a finite Engel set
• Engel groups with an identity
• Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent