Geodesic
Some n-ary analogs of the notion of a~normalizer of an n-ary subgroup in a~group
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2005), pp. 63-70.

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In this article n-ary analogs of the concept of normalizer of a subgroup of a group are constructed. It is proved that in an n-ary group the role of these n-ary analogs play the concepts of a normalizer and seminormalizer of n-ary subgroup in n-ary group. A connection of these analogs with its binary prototypes is established. 
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A. M. Gal'mak. Some $n$-ary analogs of the notion of a~normalizer of an $n$-ary subgroup in a~group. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2005), pp. 63-70. https://geodesic-test.mathdoc.fr/item/BASM_2005_3_a5/

[1] Post E. L., “Polyadic groups”, Trans. Amer. Math. Soc., 48:2 (1940), 208–350 | DOI | MR | Zbl

[2] Belousov V. D., $n$-Ary quasigroups, Shtiinta, Kishinev, 1972 | MR

[3] Rusakov S. A., Algebraic $n$-ary systems, Navuka i Tehnika, Minsk, 1992

[4] Gal'mak A. M., $n$-ary groups, F. Skorina Gomel' State University, Gomel', 2003

[5] Gal'mak A. M., Congruences of poliadic groups, Belarusskaya navuka, Minsk, 1999