Current Search: Hindman, Peter Blake (x)
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Title
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On the Loewy structure of the projective indecomposable representations of some stabilizer subgroups of A(8) in characteristic 2.
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Creator
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Hindman, Peter Blake, Florida Atlantic University, Klingler, Lee
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Abstract/Description
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Given a module over a ring for which the Jordan-Holder theorem is valid, the Loewy series is a filtration on the composition factors of the module yielding information on the structure in which they are arranged in the module. We derive subgroups of A8 by considering stabilizers of n-tuples derived from partitions of eight letters, and develop their representation theory over a field of characteristic 2, relying heavily on methods of passing information to groups from their subgroups, with...
Show moreGiven a module over a ring for which the Jordan-Holder theorem is valid, the Loewy series is a filtration on the composition factors of the module yielding information on the structure in which they are arranged in the module. We derive subgroups of A8 by considering stabilizers of n-tuples derived from partitions of eight letters, and develop their representation theory over a field of characteristic 2, relying heavily on methods of passing information to groups from their subgroups, with special attention toward obtaining the Loewy structure of their projective indecomposable representations.
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Date Issued
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1993
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PURL
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http://purl.flvc.org/fcla/dt/14971
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Subject Headings
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Representations of groups, Projective modules (Algebra), Indecomposable modules
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Format
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Document (PDF)
