We describe {2, 3}-groups without elements of order 27, acting freely on an Abelian group. In particular, it is proved that such groups are locally finite.
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Supported by RFBR (project No. 08-01-00322), 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 (ADTP) “Development of Scientific Potential of the Higher School of Learning” (project Nos. 2.1.1/419 and 2.1.1/3023). (D. V. Lytkina)
Translated from Algebra i Logika, Vol. 49, No. 3, pp. 379–387, May–June, 2010.
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Lytkina, D.V. Periodic groups acting freely on Abelian groups. Algebra Logic 49, 256–261 (2010). https://doi.org/10.1007/s10469-010-9094-5
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DOI: https://doi.org/10.1007/s10469-010-9094-5