no. 13-14
Algebra
A characterization of generalized quaternion 2-groups
[Une caractérisation des groupes de quaternions généralisés]
Présenté par : Jean-Pierre Serre
Tărnăuceanu, Marius1
1 Faculty of Mathematics, “Al.I. Cuza” University, 700506 Iaşi, Romania
Comptes Rendus. Mathématique, Tome 348 (2010) no. 13-14, pp. 731-733

The goal of this Note is to give a characterization of generalized quaternion 2-groups by using their posets of cyclic subgroups.

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.

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

Tărnăuceanu, Marius 1

1 Faculty of Mathematics, “Al.I. Cuza” University, 700506 Iaşi, Romania 
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Tărnăuceanu, Marius. A characterization of generalized quaternion 2-groups. Comptes Rendus. Mathématique, Tome 348 (2010) no. 13-14, pp. 731-733. doi: 10.1016/j.crma.2010.06.016

[1] Călugăreanu, Gr.G.; Deaconescu, M. Breaking points in subgroup lattices, Proceedings of Groups St. Andrews 2001 in Oxford, vol. 1, Cambridge University Press, 2003, pp. 59-62

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

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

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

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

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