A bound for the Schur index of irreducible representations of finite groups

Journal Article · Sat Aug 31 00:00:00 EDT 2013 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2013V204N08ABEH004334· OSTI ID:22317917

Kiselev, D D ^[1]

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1. M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)

We construct an optimal bound for the Schur index of irreducible complex representations of finite groups over the field of rational numbers, when only the prime divisors of the order of the group are known. We study relationships with compatible and universally compatible extensions of number fields. We give a simpler proof of the well-known Berman-Yamada bound for the Schur index over the field Q{sub p}. Bibliography: 7 titles.

• OSTI ID: 22317917
• Journal Information: Sbornik. Mathematics, Vol. 204, Issue 8; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
BIBLIOGRAPHIES
GROUP THEORY
IRREDUCIBLE REPRESENTATIONS