299 citations
6 papers
Group algebras whose group of units is powerful
V. A. Bovdi
A p-group is called powerful if every commutator is a product of pth powers when p is odd and a product of fourth powers when p=2. In the group algebra of a group G of p-power orde…
Towards effective payoffs in the prisoner's dilemma game on scale-free networks
Attila Szolnoki, Matjaz Perc, Zsuzsa Danku
We study the transition towards effective payoffs in the prisoner's dilemma game on scale-free networks by introducing a normalization parameter guiding the system from accumulated…
Unitary units in modular group algebras
V. A. Bovdi, L. G. Kovács
Let p be a prime, K a field of characteristic p, G a locally finite p-group, KG the group algebra, and V the group of the units of KG with augmentation 1. The anti-automorphism g\m…
Torsion units in integral group ring of Higman-Sims simple group
V. A. Bovdi, A. B. Konovalov
Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group…
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 units of group algebras of 2-groups of maximal class
Zs. Balogh, A. Bovdi
We determine the number of elements of order two in the group of normalized units V(F_2G) of the group algebra F_2G of a 2-group of maximal class over the field F_2 of two elements…