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arXiv · 2005.14452

A family of finite p-groups satisfying Carlson's conjecture

Oihana Garaialde Ocaña·Lander Guerrero Sánchez·Jon González-Sánchez
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Abstract

Let p>3 be a prime number and let r be an integer with 1<r<p-1. For each r, let moreover G_r denote the unique quotient of the maximal class pro-p group of size p^{r+1}. We show that the mod-p cohomology ring of G_r has depth one and that, in turn, it satisfies the equalities in Carlson's depth conjecture [3].

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Oihana Garaialde Ocaña, Lander Guerrero Sánchez, Jon González-Sánchez. 2020-05-29. A family of finite p-groups satisfying Carlson's conjecture. https://arxiv.org/abs/2005.14452

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