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This article is cited in 1 scientific paper (total in 1 paper)
A bound for the Schur index of irreducible representations of finite groups
D. D. Kiselev M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
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 $\mathbb{Q}_p$.
Bibliography: 7 titles.
Keywords:
finite group, Schur index, universally compatible extensions.
DOI:
https://doi.org/10.4213/sm8175
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English version:
Sbornik: Mathematics, 2013, 204:8, 1152–1160
Bibliographic databases:
UDC:
512.547.2+512.623.32
MSC: Primary 20C05; Secondary 20C99 Received: 12.09.2012 and 25.12.2012
Citation:
D. D. Kiselev, “A bound for the Schur index of irreducible representations of finite groups”, Mat. Sb., 204:8 (2013), 73–82; Sb. Math., 204:8 (2013), 1152–1160
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Linking options:
http://mi.mathnet.ru/eng/msb8175https://doi.org/10.4213/sm8175 http://mi.mathnet.ru/eng/msb/v204/i8/p73
Citing articles on Google Scholar:
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Related articles on Google Scholar:
Russian articles,
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This publication is cited in the following articles:
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D. D. Kiselev, “Optimal bounds for the Schur index and the realizability of representations”, Sb. Math., 205:4 (2014), 522–531
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