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Algebra i logika, 2001, Volume 40, Number 6, Pages 698–715 (Mi al243)  
This article is cited in 13 scientific papers (total in 13 papers)

Totally Transitive Torsion-Free Groups of Finite $p$-Rank

A. R. Chekhlov
Full-text PDF (1799 kB) Citations (13)
Abstract: Totally transitive torsion-free groups all non-zero endomorphisms of which are monomorphisms are studied. Such are characterized in terms of modules over some rings with specific properties. Also, a structural description is provided for quasihomogeneous, totally transitive, torsion-free groups $A$ of finite $p$-rank, for at least one prime $p$ not dividing $A$.
Keywords: totally transitive torsion-free group, quasihomogeneous totally transitive group, endomorphism, monomorphism.
Received: 21.04.1999
Revised: 20.07.2001
English version:
Algebra and Logic, 2001, Volume 40, Issue 6, Pages 391–400
DOI: https://doi.org/10.1023/A:1013755809961
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: A. R. Chekhlov, “Totally Transitive Torsion-Free Groups of Finite $p$-Rank”, Algebra Logika, 40:6 (2001), 698–715; Algebra and Logic, 40:6 (2001), 391–400
Citation in format AMSBIB
\Bibitem{Che01}
\by A.~R.~Chekhlov
\paper Totally Transitive Torsion-Free Groups of Finite $p$-Rank
\jour Algebra Logika
\yr 2001
\vol 40
\issue 6
\pages 698--715
\mathnet{http://mi.mathnet.ru/al243}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918526}
\zmath{https://zbmath.org/?q=an:1017.20046}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 6
\pages 391--400
\crossref{https://doi.org/10.1023/A:1013755809961}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52549088626}
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    • This publication is cited in the following 13 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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