Abstract
It is proved that some classes\(\mathfrak{H}\) of conjugate elements in a symmetric and in an alternating group are complete sets of complementing elements, i.e., subsets such that for each non-identity element A of the group there exists an element B ∉\(\mathfrak{H}\) such that A and B generate the group.
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Translated from Matematicheskie Zametki, Vol. 7, No. 2, pp. 173–180, February, 1970.
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Binder, G.Y. Some complete sets of complementary elements of the symmetric and the alternating group of the n-th degree. Mathematical Notes of the Academy of Sciences of the USSR 7, 105–109 (1970). https://doi.org/10.1007/BF01093491
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DOI: https://doi.org/10.1007/BF01093491