Inductive lattices of totally composition formations

Aleksandr Tsarev

doi:10.15446/recolma.v52n2.77156

Publicado

2018-07-01

Inductive lattices of totally composition formations

Retículos inductivos de formaciones totalmente compositivas

DOI:

https://doi.org/10.15446/recolma.v52n2.77156

Palabras clave:

Finite group, formation of groups, satellite of formation, τ-closed totally composition formation, inductive lattice of formations (en)
Grupo ﬁnito, formación de grupos, satélite de formación, formación de composición totalmente τ-cerrada, retículo inductivo de formaciones (es)

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Autores/as

Aleksandr Tsarev Jeju National Universit

Resumen (en)
Resumen (de)

Let τ be a subgroup functor such that all subgroups of every ﬁnite group G contained in τ(G) are subnormal in G. In this paper, we give a simple proof of the fact that the lattice of all τ-closed totally composition formations of ﬁnite groups is inductive.

Sea τ un funtor de subgrupo de modo que todos los subgrupos de cualquier grupo ﬁnito G contenido en τ(G) son subnormales en G. En este artículo, damos una demostración simple de que el retículo de todas las formaciones de composición totalmente τ-cerradas de los grupos ﬁnitos es inductivo.

Referencias

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Cómo citar

APA

Tsarev, A. (2018). Inductive lattices of totally composition formations. Revista Colombiana de Matemáticas, 52(2), 161–169. https://doi.org/10.15446/recolma.v52n2.77156

ACM

[1]

Tsarev, A. 2018. Inductive lattices of totally composition formations. Revista Colombiana de Matemáticas. 52, 2 (jul. 2018), 161–169. DOI:https://doi.org/10.15446/recolma.v52n2.77156.

ACS

(1)

Tsarev, A. Inductive lattices of totally composition formations. rev.colomb.mat 2018, 52, 161-169.

ABNT

TSAREV, A. Inductive lattices of totally composition formations. Revista Colombiana de Matemáticas, [S. l.], v. 52, n. 2, p. 161–169, 2018. DOI: 10.15446/recolma.v52n2.77156. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/77156. Acesso em: 27 dic. 2025.

Chicago

Tsarev, Aleksandr. 2018. «Inductive lattices of totally composition formations». Revista Colombiana De Matemáticas 52 (2):161-69. https://doi.org/10.15446/recolma.v52n2.77156.

Harvard

Tsarev, A. (2018) «Inductive lattices of totally composition formations», Revista Colombiana de Matemáticas, 52(2), pp. 161–169. doi: 10.15446/recolma.v52n2.77156.

IEEE

[1]

A. Tsarev, «Inductive lattices of totally composition formations», rev.colomb.mat, vol. 52, n.º 2, pp. 161–169, jul. 2018.

MLA

Tsarev, A. «Inductive lattices of totally composition formations». Revista Colombiana de Matemáticas, vol. 52, n.º 2, julio de 2018, pp. 161-9, doi:10.15446/recolma.v52n2.77156.

Turabian

Tsarev, Aleksandr. «Inductive lattices of totally composition formations». Revista Colombiana de Matemáticas 52, no. 2 (julio 1, 2018): 161–169. Accedido diciembre 27, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/77156.

Vancouver

1.

Tsarev A. Inductive lattices of totally composition formations. rev.colomb.mat [Internet]. 1 de julio de 2018 [citado 27 de diciembre de 2025];52(2):161-9. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/77156

Descargar cita

CrossRef Cited-by

4

1. Aleksandr Tsarev. (2019). On the lattice of all totally composition formations of finite groups. Ricerche di Matematica, 68(2), p.693. https://doi.org/10.1007/s11587-019-00433-3.

2. Aleksandr Tsarev, Andrei Kukharev. (2020). Algebraic lattices of solvably saturated formations and their applications. Boletín de la Sociedad Matemática Mexicana, 26(3), p.1003. https://doi.org/10.1007/s40590-020-00290-3.

3. I. P. Los, V. G. Safonov. (2024). On the properties of the lattice of τ-closed totally ω-composition formations. Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series, 60(3), p.183. https://doi.org/10.29235/1561-2430-2024-60-3-183-194.

4. N. N. Vorob’ev, I. I. Staselka, A. Hojagulyyev. (2021). Separated Lattices of Multiply $ \sigma $-Local Formations. Siberian Mathematical Journal, 62(4), p.586. https://doi.org/10.1134/S0037446621040029.