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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 4, Pages 721–735
DOI: https://doi.org/10.33048/smzh.2021.62.402 (Mi smj7590) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Separated lattices of multiply $\sigma$-local formations

N. N. Vorob'ev, I. I. Stasel'ko, A. O. Hojagulyyev

Vitebsk State University, Vitebsk, Belarus
Full-text PDF (509 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2021.62.402
Abstract: Let $n > 0$ and let $\sigma = \{\sigma_i \mid i \in I\}$ be a partition of the set of all primes ${\Bbb P}$. We prove that the lattice of all $n$-multiply $\sigma$-local formations is inductive and $\mathfrak{G}$-separated.
Keywords: finite group, formation of groups, formation $\sigma$-function, $n$-multiply $\sigma$-local formation, lattice of formations, inductive lattice of formations, separated lattice of formations.
Funding agency Grant number
ГПНИ "Конвергенция-2025" 20210495
The work is supported by the State Program for Scientific Research of the Republic of Belarus “Convergence-2025” (State Registration no. 20210495).
Received: 04.09.2020
Revised: 19.04.2021
Accepted: 11.06.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 4, Pages 586–597
DOI: https://doi.org/10.1134/S0037446621040029
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: N. N. Vorob'ev, I. I. Stasel'ko, A. O. Hojagulyyev, “Separated lattices of multiply $\sigma$-local formations”, Sibirsk. Mat. Zh., 62:4 (2021), 721–735; Siberian Math. J., 62:4 (2021), 586–597
Citation in format AMSBIB
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\paper Separated lattices of multiply $\sigma$-local formations
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\vol 62
\issue 4
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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