Cayley unitary elements in group algebras under oriented involutions

John H. Castillo, Yzel Wlly Gómez-Espíndola, Alexander Holguín-Villa

Let $\mathbf{F}$ be a real extension of $\mathbb{Q}$, $G$ a finite group and $\mathbf{F}G$ its group algebra. Given both a group homomorphism $\sigma :G\to \{\pm 1\}$ (called an o…