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Matematicheskie Zametki, 2005, Volume 78, Issue 2, Pages 234–240
DOI: https://doi.org/10.4213/mzm2588
(Mi mzm2588)
 

This article is cited in 6 scientific papers (total in 6 papers)

Fitting Classes with Given Properties of Hall Subgroups

V. N. Zagurskii, N. T. Vorob'ev

Vitebsk State University named after P. M. Masherov
Full-text PDF (177 kB) Citations (6)
References:
Abstract: In the theory of formations of finite solvable groups, there is a well-known result due to Blessenohl claiming that, for any local formation $\mathfrak F$, the class of groups for which every Hall $\pi$-subgroup belongs to $\mathfrak F$ also is a local formation. In the present paper, we obtain a result exactly dual to that indicated in the theory of Fitting classes. We prove that if a Fitting class $\mathfrak F$ is local, then the class of all groups all of whose Hall $\pi$-subgroups belong to $\mathfrak F$ is also local.
Received: 13.09.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 2, Pages 213–218
DOI: https://doi.org/10.1007/s11006-005-0117-9
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: V. N. Zagurskii, N. T. Vorob'ev, “Fitting Classes with Given Properties of Hall Subgroups”, Mat. Zametki, 78:2 (2005), 234–240; Math. Notes, 78:2 (2005), 213–218
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v78/i2/p234
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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