Journal of Group Theory
Editor-in-Chief: Parker, Christopher W. / Wilson, John S.
Managing Editor: Khukhro, Evgenii I. / Kramer, Linus
6 Issues per year
IMPACT FACTOR 2016: 0.457
5-year IMPACT FACTOR: 0.521
CiteScore 2016: 0.53
SCImago Journal Rank (SJR) 2015: 0.748
Source Normalized Impact per Paper (SNIP) 2015: 0.849
Mathematical Citation Quotient (MCQ) 2015: 0.45
Longer nilpotent series for classical unipotent subgroups
In studying nilpotent groups, the lower central series and other variations can be used to construct an associated ℤ+-graded Lie ring, which is a powerful method to inspect a group. Indeed, the process can be generalized substantially by introducing ℕd-graded Lie rings. We compute the adjoint refinements of the lower central series of the unipotent subgroups of the classical Chevalley groups over the field ℤ/pℤ of rank d. We prove that, for all the classical types, this characteristic filter is a series of length Θ(d2) with nearly all factors having p-bounded order.