Cohomology of p-groups of nil potency class smaller than p

Antonio Díaz Ramos; Oihana Garaialde Ocaña; Jon González-Sánchez

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arXiv · 1612.06584

Cohomology of p-groups of nil potency class smaller than p

Antonio Díaz Ramos·Oihana Garaialde Ocaña·Jon González-Sánchez

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Abstract

Let $p$ be a prime number, let $d$ be an integer and let $G$ be a $d$-generated finite $p$-group of nilpotency class smaller than $p$. Then the number of possible isomorphism types for the mod $p$ cohomology algebra $H^*(G;{\mathbb F}_p)$ is bounded in terms of $p$ and $d$.

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Antonio Díaz Ramos, Oihana Garaialde Ocaña, Jon González-Sánchez. 2016-12-20. Cohomology of p-groups of nil potency class smaller than p. https://arxiv.org/abs/1612.06584

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