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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 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-…
On the order of the unitary subgroup of modular group algebra
Victor Bovdi, A. L. Rosa
Let KG be a group algebra of a finite p-group G over a finite field K of characteristic p. We compute the order of the unitary subgroup of the group of units when G is either an ex…
On elements in algebras having finite number of conjugates
Victor Bovdi
Let be a ring with unity and its group of units. Let be the -radical of and let $\nabla(R)=\{a\in R\mid [U(R)…
On a filtered multiplicative basis of group algebras
Victor Bovdi
Let be a field of characteristic and a nonabelian metacyclic finite -group. We give an explicit list of all metacyclic -groups , such that the group algebra $K…