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The Schur Index of Projective Characters of Symmetric and Alternating Groups

The Annals of Mathematics, 1992
As the title suggests, the author gives an explicit rule for determining the Schur index of every irreducible projective character of the symmetric and alternating groups, or equivalently, for every irreducible character of the representation groups of these groups. The results for the `ordinary' characters are well known; in that case, the Schur index
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Optimal bounds for the Schur index and the realizability of representations

Sbornik: Mathematics, 2014
An optimal bound is given for the Schur index of an irreducible complex representation over the field of rational numbers on the class of finite groups of a chosen order or of a chosen exponent. We obtain a sufficient condition for the realizability of an irreducible complex character of a finite group of exponent with Schur index , which is either an ...
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Exact Schur index in closed form

Physical Review D, 2022
Yiwen Pan
exaly  

A Formula for Calculating Some Schur Indices

Journal of Algebra, 2000
Alexandre Turull
exaly  

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