|
|||||
|
|
Star-group identities and groups of units |
|
| Authors: | Antonio Giambruno César Polcino Milies Sudarshan K Sehgal |
| Institution: | 1. Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, 90123, Palermo, Italy 2. Instituto de Matemática e Estatística, Universidade de S?o Paulo, Caixa Postal 66281, CEP-05315-970, S?o Paulo, Brazil 3. Department of Mathematical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada |
| Abstract: | Analogous to *-identities in rings with involution we define *-identities in groups. Suppose that G is a torsion group with involution * and that F is an infinite field with char F ≠ 2. Extend * linearly to FG. We prove that the unit group U{\mathcal{U}} of FG satisfies a *-identity if and only if the symmetric elements U+{\mathcal{U}^+} satisfy a group identity. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |