On CEP-subgroups of n-periodic products
Varuzhan Sergeevich Atabekyan · Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) · 2011
There is a well-known fact, that any group G 1 is a CEP-subgroup both for the direct product G 1 × G 2 and the free productG 1 * G 2 of G 1 with any group G 2. The paper gives a necessary and sufficient condition providing that a multiplier G i of a n-periodic product Π ∈ G i of any family of groups {G i } i∈I is a CEP-subgroup. Particularly, the found criterionmeans that any group G 1 of odd period n ≥ 665 is a CEP-subgroup of the n-periodic product Π ∈ G i for any group G 2.