Photo by vika_strawberrika from unsplash
Abstract Let denote the group algebra of the group G over the field with Given both a homomorphism and a group involution an oriented involution of is defined by In… Click to show full abstract
Abstract Let denote the group algebra of the group G over the field with Given both a homomorphism and a group involution an oriented involution of is defined by In this article, we determine the conditions under which the group algebra is normal, that is, conditions under which satisfies the -identity We prove that is normal if and only if the set of symmetric elements under is commutative.
Keywords:
normal group;
group algebras;
group
Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!