We study fields of values of the restriction to Sylow subgroups of irreducible characters of the normalizers of Sylow subgroups in symmetric and alternating groups. As an application, we show that these classes of groups admit a McKay bijection that respects fields of values and restriction to Sylow subgroups.
Mckay bijections for symmetric and alternating groups / Giannelli E.. - In: ALGEBRA & NUMBER THEORY. - ISSN 1937-0652. - STAMPA. - 15:(2021), pp. 1809-1835. [10.2140/ANT.2021.15.1809]
Mckay bijections for symmetric and alternating groups
Giannelli E.
2021
Abstract
We study fields of values of the restriction to Sylow subgroups of irreducible characters of the normalizers of Sylow subgroups in symmetric and alternating groups. As an application, we show that these classes of groups admit a McKay bijection that respects fields of values and restriction to Sylow subgroups.
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