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Products of finite connected subgroups

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Products of finite connected subgroups

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Gallego, MP.; Hauck, P.; Kazarin, LS.; Martínez-Pastor, A.; Pérez-Ramos, MD. (2020). Products of finite connected subgroups. Mathematics. 8(9):1-8. https://doi.org/10.3390/math8091498

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/172145

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Título: Products of finite connected subgroups
Autor: Gallego, María Pilar Hauck, Peter Kazarin, Lev S. Martínez-Pastor, Ana Pérez-Ramos, María Dolores
Entidad UPV: Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] For a non-empty class of groups L, a finite group G = AB is said to be an L-connected product of the subgroups A and B if < a, b > is an element of L for all a is an element of A and b is an element of B. In a previous ...[+]
Palabras clave: Finite groups , Products of subgroups , Two-generated subgroups , L-connection , Fitting classes , Fitting series , Formations
Derechos de uso: Reconocimiento (by)
Fuente:
Mathematics. (eissn: 2227-7390 )
DOI: 10.3390/math8091498
Editorial:
MDPI AG
Versión del editor: https://doi.org/10.3390/math8091498
Código del Proyecto:
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F057/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096872-B-I00/ES/GRUPOS, ESTRUCTURA LOCAL-GLOBAL E INVARIANTES NUMERICOS/
Agradecimientos:
Research supported by Proyectos PROMETEO/2017/057 from the Generalitat Valenciana (Valencian Community, Spain), and PGC2018-096872-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades, Spain, and FEDER, European ...[+]
Tipo: Artículo

References

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Flavell, P. (1995). Finite groups in which every two elements generate a soluble subgroup. Inventiones Mathematicae, 121(1), 279-285. doi:10.1007/bf01884299 [+]
Hauck, P., Kazarin, L. S., Martínez-Pastor, A., & Pérez-Ramos, M. D. (2020). Thompson-like characterization of solubility for products of finite groups. Annali di Matematica Pura ed Applicata (1923 -), 200(1), 337-362. doi:10.1007/s10231-020-00998-z

Thompson, J. G. (1968). Nonsolvable finite groups all of whose local subgroups are solvable. Bulletin of the American Mathematical Society, 74(3), 383-437. doi:10.1090/s0002-9904-1968-11953-6

Flavell, P. (1995). Finite groups in which every two elements generate a soluble subgroup. Inventiones Mathematicae, 121(1), 279-285. doi:10.1007/bf01884299

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Beidleman, J., & Heineken, H. (2004). Pairwise -connected Products of Certain Classes of Finite Groups. Communications in Algebra, 32(12), 4741-4752. doi:10.1081/agb-200036743

Hauck, P., Martínez-Pastor, A., & Pérez-Ramos, M. D. (2003). Products of $\scr N$-connected groups. Illinois Journal of Mathematics, 47(4). doi:10.1215/ijm/1258138089

Gállego, M. P., Hauck, P., & Pérez-Ramos, M. D. (2008). Soluble products of connected subgroups. Revista Matemática Iberoamericana, 433-461. doi:10.4171/rmi/542

Gállego, M. P., Hauck, P., & Pérez-Ramos, M. D. (2008). On 2-generated subgroups and products of groups. Journal of Group Theory, 11(6). doi:10.1515/jgt.2008.054

Gállego, M. P., Hauck, P., & Pérez-Ramos, M. D. (2011). Saturated formations and products of connected subgroups. Journal of Algebra, 333(1), 105-119. doi:10.1016/j.jalgebra.2010.09.012

Gállego, M. P., Hauck, P., & Pérez-Ramos, M. D. (2016). 2-Engel relations between subgroups. Journal of Algebra, 447, 31-55. doi:10.1016/j.jalgebra.2015.08.030

GRUNEWALD, F., KUNYAVSKII, B., & PLOTKIN, E. (2013). CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL. International Journal of Algebra and Computation, 23(05), 1011-1062. doi:10.1142/s0218196713300016

Flavell, P. (2002). A characterisation of F2(G). Journal of Algebra, 255(2), 271-287. doi:10.1016/s0021-8693(02)00033-9

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