Un etude classique des duplications d’un groupe cyclique
DOI:
https://doi.org/10.4067/S0716-09172006000200002Keywords:
Isomorphisms, 2n-order groups, cyclic groups, isomorfismos, grupos de orden 2n, grupos cíclicos.Abstract
Pour chaque entier n, nous allons a etablir la quantité, sauf isomorphism, des groupes G d’ordre 2n et de fa¸ con qu’ils aient au moins un élément d’ordre n. C’est-a-dire, nous donnerons le nombre des groupes (sauf isomorphism) d’ordre 2n, qui aient un sous-groupe isomorphic au groupe cyclique d’ordre n, Cn. En plus , nous étudierons aussi la structure de ces groupes.
References
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[2] Burnside W. Theory of groups. Dover, New York, (1955).
[3] Derek J. S. Robinson. A Course in the Theory of Groups. SpringerVerlag, New-York, (1982).
[4] Feit W. Theory of finite groups in the twentieth century. American Mathematical Heritage: Algebra and Applied Mathematics, Texas Tech Univ., (1981).
[5] Gorenstein D. Finite groups. Chelsea Publishing Company, New York, (1980).
[6] Seksenbaev K. On the theory of polycyclic groups. Algebra i Logika 4, pp. 79-83, (1965).
[7] Suzuki, Michio. Group Theory I, Springer-Verlag,1982.
[8] Vinogradov I. Fundamentos de la teoríde números. Ed. Mir, Moscú, (1972).
Published
2017-05-08
How to Cite
[1]
A. Ríder Moyano and R. M. Rubio Ruiz, “Un etude classique des duplications d’un groupe cyclique”, Proyecciones (Antofagasta, On line), vol. 25, no. 2, pp. 121-150, May 2017.
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