On <Emphasis Type="Italic">CEP</Emphasis>-subgroups of <Emphasis Type="Italic">n</Emphasis>-periodic products |
| |
Authors: | V S Atabekyan |
| |
Institution: | 1.Yerevan State University,Yerevan,Armenia |
| |
Abstract: | 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
i∈I
n
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
i∈I
n
G
i
for any group G
2. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|