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11 papers
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…
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.
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…
Torsion-free crystallographic groups with indecomposable holonomy group
V. A. Bovdi, P. M. Gudivok, V. P. Rudko
Let K be a principal ideal domain, G a finite group, and M a KG-module which as K-module is free of finite rank, and on which acts faithfully. A generalized crystallographic gr…
Torsion free groups with indecomposable holonomy group I
V. A. Bovdi, P. M. Gudivok, V. P. Rudko
We study the torsion free generalized crystallographic groups with the indecomposable holonomy group which is isomorphic to either a cyclic group of order or a direct produ…
On filtered multiplicative bases of group algebras II
Victor Bovdi
We give an explicit list of all p-groups G with a cyclic subgroup of index p^2, such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-…