Previous |  Up |  Next


Title: A note on loops of square-free order (English)
Author: Leppälä, Emma
Author: Niemenmaa, Markku
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 54
Issue: 1
Year: 2013
Pages: 1-3
Summary lang: English
Category: math
Summary: Let $Q$ be a loop such that $|Q|$ is square-free and the inner mapping group $I(Q)$ is nilpotent. We show that $Q$ is centrally nilpotent of class at most two. (English)
Keyword: loop
Keyword: inner mapping group
Keyword: centrally nilpotent loop
MSC: 20D15
MSC: 20N05
idMR: MR3038067
Date available: 2013-02-21T13:57:55Z
Last updated: 2015-04-01
Stable URL:
Reference: [1] Bruck R.H.: Contributions to the theory of loops.Trans. Amer. Math. Soc. 60 (1946), 245–354. Zbl 0061.02201, MR 0017288
Reference: [2] Doerk K., Hawkes T.: Finite Soluble Gruyter, Berlin, 1992. Zbl 0753.20001, MR 1169099
Reference: [3] Kepka T., Niemenmaa M.: On multiplication groups of loops.J. Algebra 135 (1990), 112–122. Zbl 0706.20046, MR 1076080, 10.1016/0021-8693(90)90152-E
Reference: [4] Niemenmaa M.: Finite loops with nilpotent inner mapping groups are centrally nilpotent.Bull. Aust. Math. Soc. 79 (2009), no. 1, 109–114. Zbl 1167.20039, MR 2486887, 10.1017/S0004972708001093


Files Size Format View
CommentatMathUnivCarolRetro_54-2013-1_1.pdf 183.1Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo