Analysis demonstrates the equivalence of depth in H(G) and the minimum dimensions of associated primes, suggesting structure in groups.
It is shown the Connor Conjecture which states the depth of H*(G) is equal to ωG, the minimum value of the dimensions of associated primes is equivalent to the the statement that there exists an elementary abelian subgroup E of G with depth H*(G) = depth H*(CGE).
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James A. Schafer (2025) studied this question.
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