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
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
[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