Units of group rings, the Bogomolov multiplier, and the fake degree conjecture

Javier Garcia-Rodriguez, Andrei Jaikin-Zapirain, Urban Jezernik

Let $\pi$ be a finite $p$-group and ${\mathbb{F}}_q$ a finite field with $q=p^n$ elements. Denote by ${\mathrm{I}}_{{\mathbb{F}}_q}$ the augmentation ideal of the group ring $\mathbb{F}_q[…