Group Elements of Some Semisimple Finite-Dimensional Hopf Algebras / Puninskii E.G. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ? 5. P. 15-20 [Moscow Univ. Math. Bulletin. Vol. 65, No 5, 2010. P. 191-195].

V.A. Artamonov and I.A. Chubarov proved a criterion under which an element of some semisimple finite-dimensional Hopf algebra is group-like. The studied Hopf algebra has only one non-one-dimensional irreducible representation. Let n be a dimension of this representation. It is shown in this paper that for odd prime n the set of group-like elements of these algebras is a cyclic group of order 2n.

Key words: semisimple finite-dimensional Hopf algebra, group-like elements.