14 citations · 33 across the 27 of their papers we have counts for
6 papers · 2 filters
Lie nilpotency indices of modular group algebras
V. A. Bovdi, J. B. Srivastava
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 mo…
Integral group ring of the Mathieu simple group M23
V. A. Bovdi, A. B. Konovalov
We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuat…
Integral group ring of the Mathieu simple group M12
V. A. Bovdi, A. B. Konovalov, S. Siciliano
We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M12. As a consequence, we confirm for this group the Ki…
Zassenhaus conjecture for central extensions of
Victor Bovdi, Martin Hertweck
We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group and for the general line…
Symmetric Units and Group Identities in Group Algebras. I
Victor Bovdi
We describe those group algebras over fields of characteristic different from 2 whose units symmetric with respect to the classical involution, satisfy some group identity.
Modular group algebras with almost maximal Lie nilpotency indices, II
Victor Bovdi
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…