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This article is cited in 6 scientific papers (total in 6 papers)
On Abelian groups close to $E$-solvable groups
A. R. Chekhlov
Tomsk State University
Abstract:
$E$-nilpotent and $E$-solvable Abelian groups are studied. The properties of such groups are studied and examples illustrating the differences and connections between the investigated classes of groups have been presented. The structure of $E$-solvable periodical, completely decomposable, coperiodic, split mixed, and other groups is shown.
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Journal of Mathematical Sciences (New York), 2014, 197:5, 708–733
UDC:
512.541+512.552+512.553
Citation:
A. R. Chekhlov, “On Abelian groups close to $E$-solvable groups”, Fundam. Prikl. Mat., 17:8 (2012), 183–219; J. Math. Sci., 197:5 (2014), 708–733
Citation in format AMSBIB
\Bibitem{Che12}
\by A.~R.~Chekhlov
\paper On Abelian groups close to $E$-solvable groups
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 8
\pages 183--219
\mathnet{http://mi.mathnet.ru/fpm1482}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 197
\issue 5
\pages 708--733
\crossref{https://doi.org/10.1007/s10958-014-1755-9}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84893835773}
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http://mi.mathnet.ru/eng/fpm1482 http://mi.mathnet.ru/eng/fpm/v17/i8/p183
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This publication is cited in the following articles:
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A. R. Chekhlov, Ml. V. Agafontseva, “Ob abelevykh gruppakh s tsentralnymi kvadratami kommutatorov endomorfizmov”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2013, no. 4(24), 54–59
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V. M. Misyakov, “O ravenstve nulyu gruppy $\mathrm{Hom}(-, C)$”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 7 (2014), 46–51
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A. R. Chekhlov, “On abelian groups with right-invariant isometries”, Siberian Math. J., 55:3 (2014), 574–577
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Chekhlov A.R., Danchev P.V., “on Commutator Fully Transitive Abelian Groups”, J. Group Theory, 18:4 (2015), 623–647
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A. R. Chekhlov, “On Abelian groups with commutative commutators of endomorphisms”, J. Math. Sci., 230:3 (2018), 502–506
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A. R. Chekhlov, “Vpolne inertnye podgruppy vpolne razlozhimykh grupp konechnogo ranga i ikh soizmerimost”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 3(41), 42–50
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