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Algebra i logika, 2002, Volume 41, Number 5, Pages 553–567 (Mi al198)  
This article is cited in 7 scientific papers (total in 7 papers)

The Congruence Property of AT-Groups

E. L. Pervova
Full-text PDF (1434 kB) Citations (7)
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Abstract: An AT-group is said to possess the congruence property if every normal subgroup of that group contains a congruence subgroup. We construct a series of examples of periodic AT-groups without this property. Moreover, we give an example of a periodic group which has a decidable conjugacy problem but lacks conjugacy separability.
Keywords: AT-group, periodic group, congruence property, conjugacy problem, conjugacy separability.
Received: 28.07.2000
English version:
Algebra and Logic, 2002, Volume 41, Issue 5, Pages 306–313
DOI: https://doi.org/10.1023/A:1020979720331
Bibliographic databases:
UDC: 512.544.4
Language: Russian
Citation: E. L. Pervova, “The Congruence Property of AT-Groups”, Algebra Logika, 41:5 (2002), 553–567; Algebra and Logic, 41:5 (2002), 306–313
Citation in format AMSBIB
\Bibitem{Per02}
\by E.~L.~Pervova
\paper The Congruence Property of AT-Groups
\jour Algebra Logika
\yr 2002
\vol 41
\issue 5
\pages 553--567
\mathnet{http://mi.mathnet.ru/al198}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1953179}
\zmath{https://zbmath.org/?q=an:1020.20015}
\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 5
\pages 306--313
\crossref{https://doi.org/10.1023/A:1020979720331}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33847621615}
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    • This publication is cited in the following 7 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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    Abstract page:341
    Full-text PDF :88
    References:41
    First page:1
     
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