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The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups.

Authors :
Nett, Daniel
Noeske, Felix
Source :
Journal of Group Theory. May2011, Vol. 14 Issue 3, p413-435. 23p.
Publication Year :
2011

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14335883
Volume :
14
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Group Theory
Publication Type :
Academic Journal
Accession number :
60281743
Full Text :
https://doi.org/10.1515/JGT.2010.066