Abstract
The tensor center of a group G is the set of elements a in G such that a ⊗ g = 1⊗ for all g in G.I t is ac haracteristic subgroup of G contained in its center. We introduce tensor analogues of various other subgroups of a group such as centralizers and 2-Engel elements and investigate their embedding in the group as well as interrelationships between those subgroups.
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