Rationality and strong reality for Sylow 2-subgroups of Weyl and alternating groups

DOI10.1007/S10469-005-0003-2zbMATH Open1096.20011OpenAlexW2062370061MaRDI QIDQ5476753

Sergey Gennadievich Kolesnikov

Publication date: 18 July 2006

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-005-0003-2

zbMATH Keywords

symmetric groupsfinite groupsSylow subgroupsalternating groupsfinite Weyl groupsrational groupscomplex irreducible charactersstrongly real elementsstrongly real groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (1)

The rationality of Sylow 2-subgroups of solvable \(\mathbb{Q}_1\)-groups

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