On centrally nilpotent loops
Safonova, L. V. ; Shchukin, K. K.
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000), p. 401-404 / Harvested from Czech Digital Mathematics Library

Using a lemma on subnormal subgroups, the problem of nilpotency of multiplication groups and inner permutation groups of centrally nilpotent loops is discussed.

Publié le : 2000-01-01
Classification:  20B35,  20N05,  22A30,  53A60,  53C05,  53C22,  53C35
@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/

Baer R. Abzählbar erkennbare gruppentheoretische Eigenschaften, Math. Z. 79 (1962), 344-363. (1962) | MR 0148740 | Zbl 0105.25901

Safonova L.V.; Shchukin K.K. About n-Engel elements of groups, 12-th Algebr. Coll. of USSR, Thesis-book 1 Sverdlovsk (1973), 54. (1973)

Smith J.D. Multiplication groups of quasigroups, Preprint 603, Technische Hochschule Darmstadt (1981). (1981)

Bruck R.H. A Survey of Binary Systems, Springer-Verlag (1966). (1966) | MR 0093552 | Zbl 0141.01401

Shchukin K.K. On nilpotency of the multiplication group of an $A$-loop, Mat. Issled. 162 (1988), 116-117. (1988) | MR 0947466 | Zbl 0664.20043

Macdonald D.; Neumann B.H. A third-Engel 5-group, J. Austral. Math. Soc. 7 (1967), 555-569. (1967) | MR 0222171 | Zbl 0163.02502