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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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Date Issued:
1993
Summary:
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 special attention toward obtaining the Loewy structure of their projective indecomposable representations.
Title: On the Loewy structure of the projective indecomposable representations of some stabilizer subgroups of A(8) in characteristic 2.
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Name(s): Hindman, Peter Blake
Florida Atlantic University, Degree Grantor
Klingler, Lee, Thesis Advisor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: monographic
Date Issued: 1993
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 89 p.
Language(s): English
Summary: 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 special attention toward obtaining the Loewy structure of their projective indecomposable representations.
Identifier: 14971 (digitool), FADT14971 (IID), fau:11750 (fedora)
Note(s): Thesis (M.S.)--Florida Atlantic University, 1993.
Subject(s): Representations of groups
Projective modules (Algebra)
Indecomposable modules
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/14971
Sublocation: Digital Library
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Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.