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math.RA2006
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…
math.RA2006
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…
math.RA2006
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…