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Algebra Logika, 2010, Volume 49, Number 6, Pages 766–781 (Mi al466)  

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

Groups of exponent 24

V. D. Mazurovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: It is proved that every group of exponent 24 containing an element of order 3 but not containing an element of order 6 is locally finite.

Keywords: groups of exponent 24, local finiteness, element order.

Full text: PDF file (194 kB)
References: PDF file   HTML file

English version:
Algebra and Logic, 2010, 49:6, 515–525

Bibliographic databases:

UDC: 512.5
Received: 02.11.2009

Citation: V. D. Mazurov, “Groups of exponent 24”, Algebra Logika, 49:6 (2010), 766–781; Algebra and Logic, 49:6 (2010), 515–525

Citation in format AMSBIB
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\by V.~D.~Mazurov
\paper Groups of exponent~24
\jour Algebra Logika
\yr 2010
\vol 49
\issue 6
\pages 766--781
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\jour Algebra and Logic
\yr 2010
\vol 49
\issue 6
\pages 515--525
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Lytkina D.V., “Gruppy s zadannymi poryadkami elementov”, Matematicheskii forum (itogi nauki. yug Rossii), 6 (2012), 85–97  elib
    2. E. Jabara, D. V. Lytkina, “On groups of exponent 36”, Siberian Math. J., 54:1 (2013), 29–32  mathnet  crossref  mathscinet  isi
    3. A. S. Mamontov, “Groups of exponent 12 without elements of order 12”, Siberian Math. J., 54:1 (2013), 114–118  mathnet  crossref  mathscinet  isi
    4. Jabara E., “A Note on Groups Covered by Conjugates of a Proper Subgroup (Vol 370, Pg 171, 2012)”, J. Algebra, 374 (2013), 245–246  crossref  mathscinet  zmath  isi
    5. Daria V. Lytkina, Victor D. Mazurov, “Groups with given element orders”, Zhurn. SFU. Ser. Matem. i fiz., 7:2 (2014), 191–203  mathnet
    6. D. V. Lytkina, V. D. Mazurov, “On $\{2,3\}$-groups without elements of order 6”, Siberian Math. J., 55:6 (2014), 1098–1104  mathnet  crossref  mathscinet  isi
    7. D. V. Lytkina, V. D. Mazurov, “$\{2,3\}$-groups with no elements of order 6”, Algebra and Logic, 53:6 (2015), 463–470  mathnet  crossref  mathscinet  isi
    8. Jabara E. Lytkina D.V. Mazurov V.D., “Some Groups of Exponent 72”, J. Group Theory, 17:6 (2014), 947–955  crossref  mathscinet  zmath  isi  elib  scopus
    9. Jabara E. Lytkina D. Mamontov A., “Recognizing M-10 By Spectrum in the Class of All Groups”, Int. J. Algebr. Comput., 24:2 (2014), 113–119  crossref  mathscinet  zmath  isi  elib  scopus
  • Алгебра и логика Algebra and Logic
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