References
Kourovskaya Tetrad': Nereshennye Voprosy Teorii Grupp [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1999).
Shunkov V. P., “A test for the nonsimplicity of groups”, Algebra i Logika,14, No. 5, 491–522 (1975).
Sozutov A. I., “On the structure of the noninvariant factor in some Frobenius groups”, Sibirsk. Mat. Zh.,35, No. 4, 893–901 (1994).
Sozutov A. I. andShunkov V. P., “On some generalization of Frobenius's theorem to infinite groups”, Mat. Sb.,100, No. 4, 495–506 (1976).
Zhurtov A. Kh., “On quadratic automorphisms of abelian groups”, Algebra i Logika (to appear).
Neumann B. H., “Groups with automorphisms that leave only the neutral element fixed”, Arch. Math., Bd7, No. 1, 1–5 (1956).
Levi F. W., “Groups in which the commutator operation satisfies certain algebraical conditions”, J. Indian Math. Soc., Ser. 6, 87–97 (1942).
Additional information
The research was supported by the Russian Foundation for Basic Research (Grant 99-01-00550).
Nal'chik. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 2, pp. 329–338, March–April, 2000.
Rights and permissions
About this article
Cite this article
Zhurtov, A.K. On regular automorphisms of order 3 and frobenius pairs. Sib Math J 41, 268–275 (2000). https://doi.org/10.1007/BF02674596
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02674596