An Exact Counterexample to Carlson's Associated-Prime Depth Conjecture from a Group of Order 128

Xinan Dai, Wenhao Deng, Yingdong Shi +2

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 associa…