Step 1: This question tests recognition of an STI sign. The groove sign points directly to Lymphogranuloma venereum (LGV), a chlamydial infection (serovars L1 to L3).
Step 2: Anatomy explains the finding. The inguinal ligament of Poupart crosses over the swollen lymph node mass. Because nodes above and below the ligament both enlarge, the ligament indents them, carving out a groove between the inguinal and femoral node groups. This is a near-diagnostic clue for LGV.
Step 3: Ruling out the rest: granuloma inguinale gives painless granulomatous ulcers, chancroid gives tender ragged ulcers with painful nodes, and herpes gives recurrent painful vesicular clusters. None create the Poupart-ligament groove.
\[\boxed{\text{LGV}}\]