Geodesic
Subgroups of semicyclic $n$-ary groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 2, pp. 211-222.

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

We give a complete description of $n$-ary subgroups of finite and infinite (Abelian and non-Abelian) $n$-ary groups defined on cyclic groups. 
@article{FPM_2009_15_2_a10,
     author = {N. A. Shchuchkin},
     title = {Subgroups of semicyclic $n$-ary groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {211--222},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a10/}
}
TY  - JOUR
AU  - N. A. Shchuchkin
TI  - Subgroups of semicyclic $n$-ary groups
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2009
SP  - 211
EP  - 222
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a10/
LA  - ru
ID  - FPM_2009_15_2_a10
ER  - 
%0 Journal Article
%A N. A. Shchuchkin
%T Subgroups of semicyclic $n$-ary groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2009
%P 211-222
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a10/
%G ru
%F FPM_2009_15_2_a10
N. A. Shchuchkin. Subgroups of semicyclic $n$-ary groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 2, pp. 211-222. http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a10/

[1] Vorobëv G. N., Reshko K. A., “Polutsiklicheskie idempotentnye $n$-arnye gruppy”, Vesnik MDU imya A. A. Kulyashova, 2004, no. 2–3(18)

[2] Galmak A. M., $n$-arnye gruppy, Ch. I., Gomelskii gos. univ. im. F. Skoriny, Gomel, 2003 | Zbl

[3] Gluskin L. M., “Pozitsionnye operativy”, Mat. sb., 68(110):3 (1965), 444–472 | MR | Zbl

[4] Schuchkin N. A., “Vzaimosvyaz $n$-grupp i grupp”, Chebyshëvskii sb., 4:1(5) (2003), 125–141 | MR

[5] Schuchkin N. A., “Polutsiklicheskie $n$-arnye gruppy”, Izv. GTU, 2008

[6] Dudek I. M., Dudek W. A., “On skew elements in $n$-groups”, Demonstratio Math., 14 (1981), 827–833 | MR | Zbl

[7] Dudek W. A., Michalski J., “On retrakts of polyadic groups”, Demonstratio Math., 17 (1984), 281–301 | MR | Zbl

[8] Glazek K., Michalski J., Sierocki I., “On evaluation of numbers of some polyadic groups”, Contribution to General Algebra, Proc. Conf., V. 3, Vienna, 1985, 157–171 | MR | Zbl

[9] Hosszú M., “On the explicit form of $n$-group operacions”, Publ. Math., 10:1–4 (1963), 88–92 | MR

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

[11] Timm J., Kommutative $n$-Gruppen, Dissertation, Hamburg, 1967