integral group rings, zeta function of orders, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), integral representations, Algebras and orders, and their zeta functions, Article, 510.mathematics, Integral representations of finite groups, arithmetic orders, Quaternion and other division algebras: arithmetic, zeta functions, zeta function of lattices, Group rings of finite groups and their modules (group-theoretic aspects), functional equation of zeta function