Un groupe fini G est appelé un -groupe si les valeurs des caractères non linéaires sont rationnelles. Dans cet article, nous déterminons la structure des -groupes métabéliens.
A finite group G is called a -group if all of its non-linear irreducible characters are rational valued. In this paper, we will find the general structure of a metabelian -group.
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@article{CRMATH_2018__356_2_138_0, author = {Rezakhanlou, Mozhgan and Darafsheh, Mohammad Reza}, title = {Metabelian $ {\mathbb{Q}}_{1}$-groups}, journal = {Comptes Rendus. Math\'ematique}, pages = {138--140}, publisher = {Elsevier}, volume = {356}, number = {2}, year = {2018}, doi = {10.1016/j.crma.2017.10.017}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2017.10.017/} }
TY - JOUR AU - Rezakhanlou, Mozhgan AU - Darafsheh, Mohammad Reza TI - Metabelian $ {\mathbb{Q}}_{1}$-groups JO - Comptes Rendus. Mathématique PY - 2018 SP - 138 EP - 140 VL - 356 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.10.017/ DO - 10.1016/j.crma.2017.10.017 LA - en ID - CRMATH_2018__356_2_138_0 ER -
%0 Journal Article %A Rezakhanlou, Mozhgan %A Darafsheh, Mohammad Reza %T Metabelian $ {\mathbb{Q}}_{1}$-groups %J Comptes Rendus. Mathématique %D 2018 %P 138-140 %V 356 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.10.017/ %R 10.1016/j.crma.2017.10.017 %G en %F CRMATH_2018__356_2_138_0
Rezakhanlou, Mozhgan; Darafsheh, Mohammad Reza. Metabelian $ {\mathbb{Q}}_{1}$-groups. Comptes Rendus. Mathématique, Tome 356 (2018) no. 2, pp. 138-140. doi : 10.1016/j.crma.2017.10.017. http://www.numdam.org/articles/10.1016/j.crma.2017.10.017/
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