A characterization of generalized quaternion 2-groups

Marius Tărnăuceanu

doi:10.1016/j.crma.2010.06.016

Algebra

A characterization of generalized quaternion 2-groups
[Une caractérisation des groupes de quaternions généralisés]

Présenté par : Jean-Pierre Serre

Marius Tărnăuceanu ¹

¹ Faculty of Mathematics, “Al.I. Cuza” University, 700506 Iaşi, Romania

Comptes Rendus. Mathématique, Volume 348 (2010) no. 13-14, pp. 731-733.

Résumé
Abstract

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 : 2010-02-18
Accepté le : 2010-06-17
Publié le : 2010-07-01

DOI : 10.1016/j.crma.2010.06.016

Affiliations des auteurs :

Marius Tărnăuceanu ¹

¹ Faculty of Mathematics, “Al.I. Cuza” University, 700506 Iaşi, Romania

@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},
}

TY  - JOUR
AU  - Marius Tărnăuceanu
TI  - A characterization of generalized quaternion 2-groups
JO  - Comptes Rendus. Mathématique
PY  - 2010
SP  - 731
EP  - 733
VL  - 348
IS  - 13-14
PB  - Elsevier
DO  - 10.1016/j.crma.2010.06.016
LA  - en
ID  - CRMATH_2010__348_13-14_731_0
ER  -

%0 Journal Article
%A Marius Tărnăuceanu
%T A characterization of generalized quaternion 2-groups
%J Comptes Rendus. Mathématique
%D 2010
%P 731-733
%V 348
%N 13-14
%I Elsevier
%R 10.1016/j.crma.2010.06.016
%G en
%F CRMATH_2010__348_13-14_731_0

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/

Bibliographie
Cité par

[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

Cité par Sources :

Commentaires - Politique