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
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Source Normalized Impact per Paper (SNIP) 2016: 1.049
Mathematical Citation Quotient (MCQ) 2016: 0.43
On the derived length of the unit group of a group algebra
Let KG be a non-commutative group algebra of a torsion nilpotent group G over a field K of positive characteristic p whose unit group, 𝒰(KG), is solvable. In the present note we prove that dl(𝒰(KG)) ⩾ ⌈log2(p + 1)⌉ and characterize group algebras for which this lower bound is achieved.
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