Trivial Units for Group Rings with<i>G</i>-adapted Coefficient Rings
Trivial Units for Group Rings with<i>G</i>-adapted Coefficient Rings
Abstract For each finite group G for which the integral group ring ℤ G has only trivial units, we give ring-theoretic conditions for a commutative ring R under which the group ring RG has nontrivial units. Several examples of rings satisfying the conditions and rings not satisfying the conditions are …