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Groups of exponent 24

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Algebra and Logic Aims and scope

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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    V. D. Mazurov

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    V. D. Mazurov

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  1. V. D. Mazurov
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Correspondence to V. D. Mazurov.

Additional information

Supported by RFBR (project Nos. 08-01-00322-a, 10-01-00026-a, and 10-01-91153-a), by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant NSh-3669.2010.1), and by the Russian Ministry of Education through the Analytical Departmental Target Program “Development of Scientific Potential of the Higher School of Learning” (project No. 2.1.1/419).

Translated from Algebra i Logika, Vol. 49, No. 6, pp. 766–781, November-December, 2010.

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Mazurov, V.D. Groups of exponent 24. Algebra Logic 49, 515–525 (2011). https://doi.org/10.1007/s10469-011-9114-0

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  • DOI: https://doi.org/10.1007/s10469-011-9114-0

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