Among other results, a criterion
is established, using multiplicators, for a cogroup to be obtainable by Utumi’s
partition method starting from a D-hypergroup.
Several constructions are then given of families of cogroups, finite or infinite,
which are not obtainable by Utumi’s method. This answers a question raised by
Stephen D. Comer (J. Algebra, 89 (1984), n∘ 2 , 397-405).
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