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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 5, Pages 1057–1067
DOI: https://doi.org/10.17377/smzh.2015.56.507 (Mi smj2697) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Inclusion subgroup functors

X. Yia, S. F. Kamornikovb

a Zhejiang Sci-tech University, Hangzhou, P. R. China
b International University "MITSO", Gomel, Belarus
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DOI: https://doi.org/10.17377/smzh.2015.56.507
Abstract: Under study is the inclusion regular transitive subgroup functors. We prove that each of these functors is $\mathfrak X$-subnormal for some class $\mathfrak X$ of primitive groups. We also inspect the structure of a total eigenclass of an inclusion regular transitive functor and the properties of special subgroup lattices.
Keywords: finite soluble group, subgroup lattice, primitive class, formation, subgroup functor, inclusion subgroup functor.
Received: 13.11.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 5, Pages 844–851
DOI: https://doi.org/10.1134/S0037446615050079
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: X. Yi, S. F. Kamornikov, “Inclusion subgroup functors”, Sibirsk. Mat. Zh., 56:5 (2015), 1057–1067; Siberian Math. J., 56:5 (2015), 844–851
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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