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We relate the quantum Steenrod square to Seidel's equivariant pair-of-pantsproduct for open convex symplectic manifolds that are either monotone or exact,using an equivariant version of the PSS isomorphism. We proceed similarly for$\mathbb{Z}/2$-equivariant symplectic cohomology, using an equivariant versionof the continuation and $c^*$-maps. We prove a symplectic Cartan relation,pointing out the difficulties in stating it. We give a nonvanishing result forthe equivariant pair-of-pants product for some elements of $SH^*(T^* S^n)$. Wefinish by calculating the symplectic square for the negative line bundles $M =\text{Tot}(\mathcal{O}(-1) \rightarrow \mathbb{CP}^m)$, proving an equivariantversion of a result due to Ritter.

Quantum Steenrod squares and the equivariant pair-of-pants in symplectic cohomology