14 citations · 41 across the 12 of their papers we have counts for
6 papers · 1 filter
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…
Integral group ring of Rudvalis 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 Rudvalis sporadic simple group Ru.…
Wreath products in modular group algebras of some finite 2-groups
Alexander Konovalov
Let be field of characteristic 2 and let be a finite non-abelian 2-group with the cyclic derived subgroup , and there exists a central element of order 2 in $Z(G) \…