Geodesic
Normal-convex embeddings of inverse semigroups
Glasgow mathematical journal, Tome 35 (1993) no. 1, pp. 115-121

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Normal-convex embeddings are introduced for inverse semigroups, generalizing the group-theoretic concept, due to Papakyriakopoulos [4]. It is shown that every E-unitary inverse semigroup admits a normal-convex embedding into a semidirect product of a semilattice by a group, a stronger version of a result by O'Carroll [3]. A general embedding result for inverse semigroups is also obtained. 
Silva, Pedro V. Normal-convex embeddings of inverse semigroups. Glasgow mathematical journal, Tome 35 (1993) no. 1, pp. 115-121. doi: 10.1017/S0017089500009630
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