Fields generated by characters of finite linear groups

نویسندگان

چکیده

In previous work (Dawsey et al. in J Algebra 533:339–343, 2019), the authors confirmed speculation of J.G. Thompson that certain multiquadratic fields are generated by specified character values sufficiently large alternating groups $$A_n$$ . Here we address natural generalization this to finite general linear $$\mathrm {GL}_m\left( {{\mathbb {F}}}_q\right) $$ and {SL}_2\left(

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ژورنال

عنوان ژورنال: Archiv der Mathematik

سال: 2021

ISSN: ['0003-889X', '1420-8938']

DOI: https://doi.org/10.1007/s00013-021-01592-2