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Matematicheskie Zametki, 2017, Volume 101, Issue 2, Pages 302–312
DOI: https://doi.org/10.4213/mzm11171
(Mi mzm11171)
 

This article is cited in 9 scientific papers (total in 9 papers)

On Fully Inert Subgroups of Completely Decomposable Groups

A. R. Chekhlov

Tomsk State University
Full-text PDF (460 kB) Citations (9)
References:
Abstract: The completely decomposable torsion-free Abelian groups with finitely many homogeneous components for which every fully inert subgroup is commensurable with a fully invariant subgroup are described.
Keywords: fully inert subgroup, fully invariant subgroup, commensurable subgroups, completely decomposable group, index of a subgroup.
Received: 22.03.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 2, Pages 365–373
DOI: https://doi.org/10.1134/S0001434617010394
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: A. R. Chekhlov, “On Fully Inert Subgroups of Completely Decomposable Groups”, Mat. Zametki, 101:2 (2017), 302–312; Math. Notes, 101:2 (2017), 365–373
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm11171
  • https://doi.org/10.4213/mzm11171
  • https://www.mathnet.ru/eng/mzm/v101/i2/p302
  • This publication is cited in the following 9 articles:
    1. A. R. Chekhlov, “Fully inert subgroups of completely decomposable groups, having homogeneous components of the final rank”, Russian Math. (Iz. VUZ), 66:12 (2022), 82–90  mathnet  crossref  crossref
    2. Andrey R. Chekhlov, Peter V. Danchev, “Weakly fully and characteristically inert socle-regular Abelian p-groups”, Communications in Algebra, 50:11 (2022), 4975  crossref  mathscinet
    3. Goldsmith B., Salce L., “Abelian P-Groups With Minimal Full Inertia”, Period. Math. Hung., 2021  crossref  mathscinet  isi
    4. A. R. Chekhlov, P. V. Danchev, B. Goldsmith, “On the socles of characteristically inert subgroups of abelian p-groups”, Forum Math., 33:4 (2021), 889–898  crossref  mathscinet  isi
    5. A. R. Chekhlov, P. V. Danchev, B. Goldsmith, “On the socles of fully inert subgroups of abelian p-groups”, Mediterr. J. Math., 18:3 (2021), 122  crossref  mathscinet  isi
    6. A. R. Chekhlov, O. V. Ivanets, “O proektivno inertnykh podgruppakh vpolne razlozhimykh grupp konechnogo ranga”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2020, no. 67, 63–68  mathnet  crossref
    7. U. Dardano, D. Dikranjan, S. Rinauro, “Inertial properties in groups”, Int. J. Group Theory, 7:3 (2018), 17–62  crossref  mathscinet  isi
    8. A. R. Chekhlov, “On Strongly Invariant Subgroups of Abelian Groups”, Math. Notes, 102:1 (2017), 106–110  mathnet  crossref  crossref  mathscinet  isi  elib
    9. A. R. Chekhlov, “Intermediately fully invariant subgroups of abelian groups”, Siberian Math. J., 58:5 (2017), 907–914  mathnet  crossref  crossref  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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