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Loops that are partitioned by groups
Journal article   Open access  Peer reviewed

Loops that are partitioned by groups

R. Atanasov and T. Foguel
Journal of group theory, Vol.17(5), pp.851 -861
2014

Abstract

Loops (Group theory) Partitions (Mathematics) Algebra, Abstract
A set of subgroups of a group is said to be a partition if every nonidentity ele-ment belongs to one and only one subgroup in this set. The study of groups with partitiondates back to a paper by Miller published in 1906 ([11]). In this paper we study the struc-ture of loops that are partitioned by subgroups.
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