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RESEARCH PRODUCT
Group algebras whose units satisfy a group identity
Antonio GiambrunoA. ValentiSudarshan K. Sehgalsubject
CombinatoricsGroup (mathematics)Collective identityG-moduleApplied MathematicsGeneral MathematicsMathematicsofComputing_GENERALQuaternion groupIdentity componentPermutation groupGroup objectMathematicsdescription
Let F G FG be the group algebra of a torsion group over an infinite field F F . Let U U be the group of units of F G FG . We prove that if U U satisfies a group identity, then F G FG satisfies a polynomial identity. This confirms a conjecture of Brian Hartley.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-01-01 | Proceedings of the American Mathematical Society |