Preprint
Jul 2026
An Exact Counterexample to Carlson's Associated-Prime Depth Conjecture from a Group of Order 128
In Question~3.1 of his 1995 paper on depth and transfer, Carlson asked whether the depth of a finite-group cohomology ring is always realized by the dimension of one of its associated primes. We give a negative answer. Let \[ G=\SG{128}{859},\qquad k=\kbar. \] An exact presentation certificate proves that $\depth H^*(G...
Xinan Dai, Wenhao Deng, Yingdong Shi et al.
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