14 citations · 48 across the 47 of their papers we have counts for
7 papers · 2 filters
Symmetric units in integral group rings
V. Bovdi, M. M. Parmenter
In this paper, we study the question of when the symmetric units in an integral group ring ZG form a multiplicative group. When G is periodic, necessary and sufficient conditions a…
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…
Integral group ring of the McLaughlin simple group
V. A. Bovdi, A. B. Konovalov
We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL. As a consequence, we confirm for this group the…
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…
Torsion units in integral group ring of the Mathieu simple group M22
V. A. Bovdi, A. B. Konovalov, S. Linton
We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of Mathieu sporadic group . We confirm the Kimmerle co…
Integral group ring of the Mathieu simple group M24
V. A. Bovdi, A. B. Konovalov
We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group . As a consequence, for this group we confirm K…