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News/An Exact Counterexample to Carlson's Associated-Prime Depth Conjecture from a Group of Order 128
arxiv
PublishedJuly 28, 2026 at 4:00 AM

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

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arXiv:2607.23732v1 Announce Type: cross Abstract: 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

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