Abstract
A subgroup H of a finite group G is called \(\mathbb {P}\)-subnormal in G if either \(H = G\) or it is connected to G by a chain of subgroups of prime indices. In this paper, some structural results of finite groups which are factorised as the product of two \(\mathbb {P}\)-subnormal subgroups is showed.
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Acknowledgements
The first and third authors are supported by the grant PGC2018-095140-B-I00 from the Ministerio de Ciencia, Innovación y Universidades and the Agencia Estatal de Investigación, Spain, and FEDER, European Union and by Prometeo/2017/057 of Generalitat (Valencian Community, Spain). Funding was provided by National Natural Science Foundation of China (Grant no. 11401597).
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Ballester-Bolinches, A., Li, Y., Pedraza-Aguilera, M.C. et al. On Factorised Finite Groups. Mediterr. J. Math. 17, 65 (2020). https://doi.org/10.1007/s00009-020-1500-1
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DOI: https://doi.org/10.1007/s00009-020-1500-1