Abstract
Buchstaber (Mosc Math J 6(1):57–84, 2006) defined multivalued groups. In this paper we will show that the first isomorphism theorem and Lagrange theorem dose not hold for multivalued groups. Finally we define stabilizer of an action and we show that orbit-stabilizer theorem is not true for multivalued-groups.
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References
Buchstaber V.M., Novikov S.P.: Formal groups, power systems and Adams operators. Russian Mat. Sb. (N. S.) 84(126), 81–118 (1971)
Buchstaber V.M.: n-valued groups: theory and applications. Mosc. Math. J. 6(1), 57–84 (2006)
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Behravesh, H., Borovik, A. A note on multivalued groups. Ricerche mat. 61, 245–253 (2012). https://doi.org/10.1007/s11587-012-0127-3
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DOI: https://doi.org/10.1007/s11587-012-0127-3