Abstract
We deal with periodic groups saturated with dihedral groups. In particular, it is proved that periodic groups of bounded period, and also periodic Shunkov groups, saturated with dihedral groups, are locally finite.
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REFERENCES
A. K. Shlyopkin, “Some periodic groups saturated with finite simple subgroups,” Mat. Trudy, 1, No. 1, 129–138 (1998).
V. P. Shunkov, “Periodic groups with an almost regular involution,” Algebra Logika, 11, No. 4, 470–494 (1972).
V. P. Shunkov, “A class of p-groups,” Algebra Logika, 9, No. 4, 484–496 (1970).
V. P. Shunkov, “Abelian subgroups in biprimitively finite groups,” Algebra Logika, 12, No. 5, 603–614 (1973).
Additional information
Supported by RFBR grant No. 03-01-00356 and by the Krasnoyarsk Science Foundation, project 11F0202C.
Translated from Algebra i Logika, Vol. 44, No. 1, pp. 114–125, January–February, 2005.
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Shlyopkin, A.K., Rubashkin, A.G. A class of periodic groups. Algebr Logic 44, 65–71 (2005). https://doi.org/10.1007/s10469-005-0008-x
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DOI: https://doi.org/10.1007/s10469-005-0008-x