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RESEARCH PRODUCT
Central idempotents and units in rational group algebras of alternating groups
Antonio GiambrunoEric Jesperssubject
CombinatoricsRational numberSymmetric groupGeneral MathematicsRational groupGenerating set of a groupYoung tableauAlternating groupGroup algebraCovering groups of the alternating and symmetric groupsMathematicsdescription
Let ℚAn be the group algebra of the alternating group over the rationals. By exploiting the theory of Young tableaux, we give an explicit description of the minimal central idempotents of ℚAn. As an application we construct finitely many generators for a subgroup of finite index in the centre of the group of units of ℚAn.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-08-01 |