Using a lemma on subnormal subgroups, the problem of nilpotency of multiplication groups and inner permutation groups of centrally nilpotent loops is discussed.
@article{119172, author = {L. V. Safonova and K. K. Shchukin}, title = {On centrally nilpotent loops}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {41}, year = {2000}, pages = {401-404}, zbl = {1038.20052}, mrnumber = {1780880}, language = {en}, url = {http://dml.mathdoc.fr/item/119172} }
Safonova, L. V.; Shchukin, K. K. On centrally nilpotent loops. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 401-404. http://gdmltest.u-ga.fr/item/119172/
Abzählbar erkennbare gruppentheoretische Eigenschaften, Math. Z. 79 (1962), 344-363. (1962) | MR 0148740 | Zbl 0105.25901
About n-Engel elements of groups, 12-th Algebr. Coll. of USSR, Thesis-book 1 Sverdlovsk (1973), 54. (1973)
Multiplication groups of quasigroups, Preprint 603, Technische Hochschule Darmstadt (1981). (1981)
A Survey of Binary Systems, Springer-Verlag (1966). (1966) | MR 0093552 | Zbl 0141.01401
On nilpotency of the multiplication group of an $A$-loop, Mat. Issled. 162 (1988), 116-117. (1988) | MR 0947466 | Zbl 0664.20043
A third-Engel 5-group, J. Austral. Math. Soc. 7 (1967), 555-569. (1967) | MR 0222171 | Zbl 0163.02502