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dc.contributor.advisorLux, Klaus M.en_US
dc.contributor.authorKalaycioglu, Selin
dc.creatorKalaycioglu, Selinen_US
dc.date.accessioned2011-12-05T21:55:13Z
dc.date.available2011-12-05T21:55:13Z
dc.date.issued2009en_US
dc.identifier.urihttp://hdl.handle.net/10150/193610
dc.description.abstractLet G be a finite group and F be a finite field. A projective indecomposable FG- module is an indecomposable direct summand of the group algebra FG. Computing the projective indecomposable modules of large finite groups has been always a challenging problem due to the large sizes of the representations of these groups. This dissertation describes a new algorithm for constructing the projective indecomposable modules of large finite groups. This algorithm uses the condensation techniques as described in [12]. The power of the algorithm will be illustrated by the examples of the socle series of all projective indecomposable modules of the sporadic simple Mathieu group M₂₄ and the simple alternating group A₁₂ in characteristic 2.
dc.language.isoENen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.titleComputing the projective indecomposable modules of large finite groupsen_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.contributor.chairLux, Klaus M.en_US
dc.identifier.oclc659752075en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.leveldoctoralen_US
dc.contributor.committeememberUlmer, Douglas L.en_US
dc.contributor.committeememberPickrell, Douglas M.en_US
dc.contributor.committeememberTiep, Pham H.en_US
dc.identifier.proquest10443en_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.namePh.D.en_US
refterms.dateFOA2018-06-25T00:12:14Z
html.description.abstractLet G be a finite group and F be a finite field. A projective indecomposable FG- module is an indecomposable direct summand of the group algebra FG. Computing the projective indecomposable modules of large finite groups has been always a challenging problem due to the large sizes of the representations of these groups. This dissertation describes a new algorithm for constructing the projective indecomposable modules of large finite groups. This algorithm uses the condensation techniques as described in [12]. The power of the algorithm will be illustrated by the examples of the socle series of all projective indecomposable modules of the sporadic simple Mathieu group M₂₄ and the simple alternating group A₁₂ in characteristic 2.


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