The Imprimitive Faithful Complex Characters of the Schur Covers of the Symmetric and Alternating Groups

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dc.creatorNett, Daniel
dc.creatorNoeske, Felix
dc.date2008-12-19
dc.date.accessioned2026-07-07T12:20:52Z
dc.date.available2026-07-07T12:20:52Z
dc.descriptionUsing combinatorics and character theory, we determine the imprimitive faithful complex characters, i.e., the irreducible faithful complex characters which are induced from proper subgroups, of the Schur covers of the symmetric and alternating groups. Furthermore, for every imprimitive character we establish all its minimal block stabilizers. As a corollary, we also determine the monomial faithful characters of the Schur covers.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0812.3746
dc.identifierhttp://arxiv.org/abs/0812.3746
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213191
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20B35 (Primary), 20C15, 20E28 (Secondary)
dc.titleThe Imprimitive Faithful Complex Characters of the Schur Covers of the Symmetric and Alternating Groups
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