Genotypes of irreducible representations of finite p-groups

dc.citation.epage681en_US
dc.citation.issueNumber2en_US
dc.citation.spage655en_US
dc.citation.volumeNumber306en_US
dc.contributor.authorBarker, L.en_US
dc.date.accessioned2015-07-28T11:58:04Z
dc.date.available2015-07-28T11:58:04Z
dc.date.issued2006-12-15en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractFor any characteristic zero coefficient field, an irreducible representation of a finite p-group can be assigned a Roquette p-group, called the genotype. This has already been done by Bouc and Kronstein in the special cases Q and C. A genetic invariant of an irrep is invariant under group isomorphism, change of coefficient field, Galois conjugation, and under suitable inductions from subquotients. It turns out that the genetic invariants are precisely the invariants of the genotype. We shall examine relationships between some genetic invariants and the genotype. As an application, we shall count Galois conjugacy classes of certain kinds of irreps. © 2006 Elsevier Inc. All rights reserved.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T11:58:04Z (GMT). No. of bitstreams: 1 10.1016-j.jalgebra.2006.05.031.pdf: 288072 bytes, checksum: eee8f6f567fa3025f0bae743af7f5860 (MD5)en
dc.identifier.doi10.1016/j.jalgebra.2006.05.031en_US
dc.identifier.eissn1090-266X
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/11568
dc.language.isoEnglishen_US
dc.publisherAcademic Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jalgebra.2006.05.031en_US
dc.source.titleJournal of Algebraen_US
dc.subjectGenetic subquotientsen_US
dc.subjectConjugacy classes of irreducible representationsen_US
dc.subjectBurnside rings of finite 2 - groupsen_US
dc.titleGenotypes of irreducible representations of finite p-groupsen_US
dc.typeArticleen_US

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