Comptes Rendus
no. 1
Group theory
Sylow 2-subgroups of solvable Q1-groups
[2-Sous-groupes de Sylow des Q1-groupes résolubles]

Présenté par : the Editorial Board

Meysam Norooz-Abadian1 ; Hesamuddin Sharifi1
1 Department of Mathematics, Faculty of Science, Shahed University, Tehran, Iran
Comptes Rendus. Mathématique, Volume 355 (2017) no. 1, pp. 20-23.

Un groupe fini dont les caractères complexes non linéaires sont rationnels est appelé un Q1-groupe. Nous étudions dans cette Note la structure d'un Q1-groupe par le biais de ses 2-sous-groupes de Sylow.

A finite group whose irreducible complex non-linear characters are rational is called a Q1-group. In this paper, we study the structure of a Q1-group through its Sylow 2-subgroups.

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Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.11.001
Meysam Norooz-Abadian 1 ; Hesamuddin Sharifi 1

1 Department of Mathematics, Faculty of Science, Shahed University, Tehran, Iran 
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Meysam Norooz-Abadian; Hesamuddin Sharifi. Sylow 2-subgroups of solvable $ {\mathbb{Q}}_{1}$-groups. Comptes Rendus. Mathématique, Volume 355 (2017) no. 1, pp. 20-23. doi : 10.1016/j.crma.2016.11.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.11.001/

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[9] M.L. Lewis The vanishing-off subgroup, J. Algebra, Volume 321 (2009), pp. 1313-1325

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