An algorithm for computing Schur indices of characters

We describe an algorithm for computing Schur indices of irreducible characters of a finite group G, based on computations within G and its subgroups and with their character tables. The algorithm has been implemented within Magma and examples of its use are given. We also compare the output of the a...

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Bibliographic Details
Published inJournal of symbolic computation Vol. 93; pp. 148 - 160
Main Author Unger, W.R.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2019
Subjects
Computational group theory
Group characters
Schur index
Schur index
Computational group theory
Group characters
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Summary:We describe an algorithm for computing Schur indices of irreducible characters of a finite group G, based on computations within G and its subgroups and with their character tables. The algorithm has been implemented within Magma and examples of its use are given. We also compare the output of the algorithm on groups associated with sporadic simple groups with the results of W. Feit. The differences are considered.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2018.06.002