Group Identities on Units and Symmetric Units of Group Rings

• Κύριος συγγραφέας: Lee, Gregory T. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2010.
• Σειρά: Algebra and Applications ; 12
• Θέματα: 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...

Πίνακας περιεχομένων:

• Group Identities on Units of Group Rings
• Group Identities on Symmetric Units
• Lie Identities on Symmetric Elements
• Nilpotence of and.