[Une caractérisation des groupes de quaternions généralisés]
Le but de cette Note est de donner une caractérisation des 2-groupes de quaternions généralisés en utilisant leur ensembles partiellement ordonnés de sous-groupes cycliques.
The goal of this Note is to give a characterization of generalized quaternion 2-groups by using their posets of cyclic subgroups.
Accepté le :
Publié le :
Marius Tărnăuceanu 1
@article{CRMATH_2010__348_13-14_731_0, author = {Marius T\u{a}rn\u{a}uceanu}, title = {A characterization of generalized quaternion 2-groups}, journal = {Comptes Rendus. Math\'ematique}, pages = {731--733}, publisher = {Elsevier}, volume = {348}, number = {13-14}, year = {2010}, doi = {10.1016/j.crma.2010.06.016}, language = {en}, }
Marius Tărnăuceanu. A characterization of generalized quaternion 2-groups. Comptes Rendus. Mathématique, Volume 348 (2010) no. 13-14, pp. 731-733. doi : 10.1016/j.crma.2010.06.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.06.016/
[1] Breaking points in subgroup lattices, Proceedings of Groups St. Andrews 2001 in Oxford, vol. 1, Cambridge University Press, 2003, pp. 59-62
[2] Endliche Gruppen, I, Springer-Verlag, Berlin, Heidelberg, New York, 1967
[3] Subgroup Lattices of Groups, de Gruyter Exp. Math., vol. 14, de Gruyter, Berlin, 1994
[4] Group Theory, I, Group Theory, II, Springer-Verlag, Berlin, 1982
[5] Groups Determined by Posets of Subgroups, Ed. Matrix Rom, Bucureşti, 2006
Cité par Sources :
Commentaires - Politique