2006/12/28 by Victor Bovdi, V. A. Bovdi, Bovdi, V. A. +2
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Topics in Algebra #Chromatin Remodeling and Cancer #Finite Group Theory Research #math.RA #math.RT #msc:16S34 #msc:17B30
paper · pdf · doi:10.48550/arxiv.math/0612841
9 pages
arxiv created 2006/12/28 · arxiv updated 2009/12/01
Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent then its upper (or lower) Lie nilpotency index is at most |G'|+1, where |G'| is the order of the commutator subgroup. The class of groups G for which these indices are maximal or almost maximal have already been determined. Here we determine G for which upper (or lower) Lie nilpotency index is the next highest possible.