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arxiv: 1612.06584 · v1 · pith:4QNW5CUYnew · submitted 2016-12-20 · 🧮 math.GR

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

classification 🧮 math.GR
keywords classcohomologynumbersmalleralgebraboundedfinitegenerated
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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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