Group Identities on Units and Symmetric Units of Group Rings
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...
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| Format: | Electronic |
| Language: | English |
| Published: |
London :
Springer London,
2010.
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| Series: | Algebra and Applications ;
12 |
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| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-84996-504-0 |
Table of Contents:
- Group Identities on Units of Group Rings
- Group Identities on Symmetric Units
- Lie Identities on Symmetric Elements
- Nilpotence of U(FG) and U+(FG)
- The Bounded Engel Property
- Solvability of U(FG) and U+(FG)
- Further Reading
- Some Results on Prime and Semiprime Rings.