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The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups
-
Daniel Nett
und
Felix Noeske
Veröffentlicht/Copyright:
1. Dezember 2010
Abstract
Using 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.
Received: 2008-10-20
Revised: 2010-08-17
Published Online: 2010-12-01
Published in Print: 2011-May
© de Gruyter 2011
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Artikel in diesem Heft
- On Lyndon's equation in some Λ-free groups and HNN extensions
- On triple factorizations of finite groups
- Approximation of automorphisms of the rationals and the random graph
- Bass–Serre theory and counting rank two amalgams
- Rational defect groups and 2-rational characters
- The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups
- Real and strongly real classes in SLn(q)
- Real and strongly real classes in PGLn(q) and quasi-simple covers of PSLn(q)
Artikel in diesem Heft
- On Lyndon's equation in some Λ-free groups and HNN extensions
- On triple factorizations of finite groups
- Approximation of automorphisms of the rationals and the random graph
- Bass–Serre theory and counting rank two amalgams
- Rational defect groups and 2-rational characters
- The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups
- Real and strongly real classes in SLn(q)
- Real and strongly real classes in PGLn(q) and quasi-simple covers of PSLn(q)
