ZJe-subgroup

Definition
Let $$p$$ be a prime number and $$P$$ be a finite p-group. The ZJe-subgroup of $$P$$, denoted $$Z(J_e(P))$$, is defined as the defining ingredient::center of the defining ingredient::join of elementary abelian subgroups of maximum order (denoted $$J_e(P)$$). It is related to, but not necessarily the same as, the ZJ-subgroup, which is the center of the join of abelian subgroups of maximum order (denoted $$J(P)$$).

$$J_e(P)$$ and $$J(P)$$ are two of the Thompson subgroups.