On centrally nilpotent loops
L. V. Safonova; K. K. Shchukin
Commentationes Mathematicae Universitatis Carolinae (2000)
- Volume: 41, Issue: 2, page 401-404
- ISSN: 0010-2628
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topSafonova, L. V., and Shchukin, K. K.. "On centrally nilpotent loops." Commentationes Mathematicae Universitatis Carolinae 41.2 (2000): 401-404. <http://eudml.org/doc/248585>.
@article{Safonova2000,
abstract = {Using a lemma on subnormal subgroups, the problem of nilpotency of multiplication groups and inner permutation groups of centrally nilpotent loops is discussed.},
author = {Safonova, L. V., Shchukin, K. K.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {group; subnormal subgroup; loop; multiplication group; inner permutation group; commutative A-loops.; subnormal subgroups; centrally nilpotent loops; multiplication groups; inner permutation groups},
language = {eng},
number = {2},
pages = {401-404},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On centrally nilpotent loops},
url = {http://eudml.org/doc/248585},
volume = {41},
year = {2000},
}
TY - JOUR
AU - Safonova, L. V.
AU - Shchukin, K. K.
TI - On centrally nilpotent loops
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 2
SP - 401
EP - 404
AB - Using a lemma on subnormal subgroups, the problem of nilpotency of multiplication groups and inner permutation groups of centrally nilpotent loops is discussed.
LA - eng
KW - group; subnormal subgroup; loop; multiplication group; inner permutation group; commutative A-loops.; subnormal subgroups; centrally nilpotent loops; multiplication groups; inner permutation groups
UR - http://eudml.org/doc/248585
ER -
References
top- Baer R., Abzählbar erkennbare gruppentheoretische Eigenschaften, Math. Z. 79 (1962), 344-363. (1962) Zbl0105.25901MR0148740
- 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) Zbl0141.01401MR0093552
- Shchukin K.K., On nilpotency of the multiplication group of an -loop, Mat. Issled. 162 (1988), 116-117. (1988) Zbl0664.20043MR0947466
- Macdonald D., Neumann B.H., A third-Engel 5-group, J. Austral. Math. Soc. 7 (1967), 555-569. (1967) Zbl0163.02502MR0222171
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