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math.RA2005
Modular group algebras with almost maximal Lie nilpotency indices. I
Victor Bovdi, Tibor Juhasz, Ernesto Spinelli
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…
math.RA2005
Modular group algebras with maximal Lie nilpotency indices
Victor Bovdi, Ernesto Spinelli
In the present paper we give the full description of the Lie nilpotent group algebras which have maximal Lie nilpotency indices.
math.GR2005
On the first Zassenhaus conjecture for integral group rings
V. Bovdi, C. Höfert, W. Kimmerle
It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring of a finite group is conjugate to a group element within the rational group algebra. The object of…