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2-ENGELIZER SUBGROUP OF A 2-ENGEL TRANSITIVE GROUPS
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 Title & Authors
2-ENGELIZER SUBGROUP OF A 2-ENGEL TRANSITIVE GROUPS
Moghaddam, Mohammad Reza R.; Rostamyari, Mohammad Amin;
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 Abstract
A general notion of -transitive groups was introduced by C. Delizia et al. in [6], where is a class of groups. In [5], Ciobanu, Fine and Rosenberger studied the relationship among the notions of conjugately separated abelian, commutative transitive and fully residually -groups. In this article we study the concept of 2-Engel transitive groups and among other results, its relationship with conjugately separated 2-Engel and fully residually -groups are established. We also introduce the notion of 2-Engelizer of the element x in G and denote the set of all 2-Engelizers in G by . Then we construct the possible values of .
 Keywords
2-ET group;-group;residually -group;fully residually -group;2-Engelizer subgroup;
 Language
English
 Cited by
 References
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