Comptes Rendus
Algebra
A characterization of generalized quaternion 2-groups
[Une caractérisation des groupes de quaternions généralisés]
Comptes Rendus. Mathématique, Volume 348 (2010) no. 13-14, pp. 731-733.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.06.016

Marius Tărnăuceanu 1

1 Faculty of Mathematics, “Al.I. Cuza” University, 700506 Iaşi, Romania
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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] Gr.G. Călugăreanu; M. Deaconescu Breaking points in subgroup lattices, Proceedings of Groups St. Andrews 2001 in Oxford, vol. 1, Cambridge University Press, 2003, pp. 59-62

[2] B. Huppert Endliche Gruppen, I, Springer-Verlag, Berlin, Heidelberg, New York, 1967

[3] R. Schmidt Subgroup Lattices of Groups, de Gruyter Exp. Math., vol. 14, de Gruyter, Berlin, 1994

[4] M. Suzuki; M. Suzuki Group Theory, I, Group Theory, II, Springer-Verlag, Berlin, 1982

[5] M. Tărnăuceanu Groups Determined by Posets of Subgroups, Ed. Matrix Rom, Bucureşti, 2006

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