The Loewy structure and basic algebra structure for some three-dimensional projective special unitary groups in characteristic \(3\) (Q1265534)

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scientific article; zbMATH DE number 1203891
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The Loewy structure and basic algebra structure for some three-dimensional projective special unitary groups in characteristic \(3\)
scientific article; zbMATH DE number 1203891

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    The Loewy structure and basic algebra structure for some three-dimensional projective special unitary groups in characteristic \(3\) (English)
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    9 March 1999
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    The purpose of this paper is to determine the basic algebra structure for blocks of maximal defect for some of the projective special unitary groups over an algebraically closed field of characteristic three. The author determines the Loewy and socle structure of the principal indecomposable modules of the principal block for the group \(\text{SU}_3(q^2)\).
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    defect groups
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    blocks
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    projective special unitary groups
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    socles
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    indecomposable modules
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