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

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

2008-12-19

arxiv.org/abs/0812.3746v1

Mathematics

Group Theory

19 pages

Scientific paper

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.

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