algebra / Group cohomology
Is the depth of the mod-$p$ cohomology ring of every finite group realized as the dimension of one of its associated primes? For $G = \operatorname{SmallGroup}(128, 859)$ over $\overline{\mathbb{F}}_2$ the ring has depth $2$ while every associated-prime quotient has dimension at least $3$.
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Is the depth of the mod-$p$ cohomology ring of every finite group realized as the dimension of one of its associated primes? For $G = \operatorname{SmallGroup}(128, 859)$ over $\overline{\mathbb{F}}_2$ the ring has depth $2$ while every associated-prime quotient has dimension at least $3$.
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Is the depth of the mod-$p$ cohomology ring of every finite group realized as the dimension of one of its associated primes? For $G = \operatorname{SmallGroup}(128, 859)$ over $\overline{\mathbb{F}}_2$ the ring has depth $2$ while every associated-prime quotient has dimension at least $3$.
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