Thursday, February 9, 15:45, 7.530
Mariano Serrano (Murcia)
On the Zassenhaus conjecture of direct products.
H.J. Zassenhaus conjectured that any unit of finite order and augmentation
one in the integral group ring ZG of a finite group G is conjugate in the
algebra QG to an element of G.
The Zassenhaus Conjecture found much attention and was proved for many
series of groups, e.g. for nilpotent groups, groups possessing a normal
Sylow subgroup with
abelian complement or cyclic-by-abelian groups.
However, there is no so much information about the conjecture for direct
products. In this talk we present our recent results on the Zassenhaus
Conjecture for the
direct product GxA, where G is a Camina finite group and A is an abelian