Generation of the RO(G)-graded equivariant Steenrod algebra

Determine whether the RO(G)-graded G-equivariant mod p Steenrod algebra is generated by the collection of G-equivariant cohomology operations constructed by Bhattacharya, Waugh, Zeng, and Zou.

Background

The paper explains that a complete computation of the RO(G)-graded G-equivariant mod p Steenrod algebra is known only when the order of G is at most 2. It then cites work of Bhattacharya, Waugh, Zeng, and Zou, who constructed a collection of G-equivariant cohomology operations and formulated the generation conjecture. The question is distinct from the paper’s own resolved computation of the Z-graded C_{p^n}-equivariant mod p Steenrod algebra, since the RO(G)-graded generation problem remains outside the scope of that computation.