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Algebra i logika, 2006, Volume 45, Number 6, Pages 710–730 (Mi al166)  
This article is cited in 2 scientific papers (total in 2 papers)

Lattices of subgroup and subsystem functors

W. Guoa, A. N. Skibab, K. P. Shamc

a Xuzhou Normal University, Department of Mathematics
b Francisk Skaryna Gomel State University
c Chinese University of Hong Kong
Full-text PDF (243 kB) Citations (2)
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Abstract: Lattices of subgroup and subsystem functors are investigated. In particular, it is proved that for the case where ${\mathcal X}$ is a formation of finite groups and width of the lattice $F_0({\mathcal X})$ is at most $|\pi ({\mathcal X})|$, the formation ${\mathcal X}$ is metanilpotent and $|\pi({\mathcal X})| \leqslant 3$.
Keywords: subsystem functor, subgroup functor, lattice of subsystem functors, lattice of subgroup functors.
Received: 25.04.2006
English version:
Algebra and Logic, 2006, Volume 45, Issue 6, Pages 403–414
DOI: https://doi.org/10.1007/s10469-006-0037-0
Bibliographic databases:
UDC: 512.54+512.57
Language: Russian
Citation: W. Guo, A. N. Skiba, K. P. Sham, “Lattices of subgroup and subsystem functors”, Algebra Logika, 45:6 (2006), 710–730; Algebra and Logic, 45:6 (2006), 403–414
Citation in format AMSBIB
\Bibitem{GuoSkiSha06}
\by W.~Guo, A.~N.~Skiba, K.~P.~Sham
\paper Lattices of subgroup and subsystem functors
\jour Algebra Logika
\yr 2006
\vol 45
\issue 6
\pages 710--730
\mathnet{http://mi.mathnet.ru/al166}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2321087}
\zmath{https://zbmath.org/?q=an:1164.20321}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 6
\pages 403--414
\crossref{https://doi.org/10.1007/s10469-006-0037-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845622850}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:21
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