Group Identities on Units and Symmetric Units of Group Rings

• Main Author: Lee, Gregory T. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2010.
• Series: Algebra and Applications ; 12
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Group theory.; Associative Rings and Algebras.; Group Theory and Generalizations.

Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, an...