  The equivariant Kazhdan-Lusztig polynomial of a matroid was introduced by
Gedeon, Proudfoot, and Young. Gedeon conjectured an explicit formula for the
equivariant Kazhdan-Lusztig polynomials of thagomizer matroids with an action
of symmetric groups. In this paper, we discover a new formula for these
polynomials which is related to the equivariant Kazhdan-Lusztig polynomials of
uniform matroids. Based on our new formula, we confirm Gedeon's conjecture by
the Pieri rule.
