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20012008
most citedIntegral group ring of the McLaughlin simple group

14 citations · 24 across the 8 of their papers we have counts for

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10 papers · 1 filter

math.RA2008

Integral group ring of the Suzuki sporadic simple group

V. A. Bovdi, A. B. Konovalov, E. N. Marcos

Using the Luthar--Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group Suz.…

math.RA2008

Symmetric subgroups in modular group algebras

A. B. Konovalov, A. G. Krivokhata

Let V(KG) be a normalised unit group of the modular group algebra of a finite p-group G over the field K of p elements. We introduce a notion of symmetric subgroups in V(KG) as sub…

math.RA200714 cited

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…

math.RA20071 cited

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…

math.RA20076 cited

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…

math.RA20073 cited

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…