## Integral group ring of Rudvalis simple group.(English)Zbl 1209.16027

Ukr. Mat. Zh. 61, No. 1, 1-13 (2009) and Ukr. Math. J. 61, No. 1, 3-13 (2009).
Summary: 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 $$Ru$$. As a consequence, for this group we confirm the Kimmerle conjecture on prime graphs.

### MSC:

 16U60 Units, groups of units (associative rings and algebras) 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 16S34 Group rings 20D08 Simple groups: sporadic groups

LAGUNA; GAP
Full Text: