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arxiv: 1802.09459 · v2 · pith:PZ2E3BK5new · submitted 2018-02-26 · 🧮 math.AT · math.GR

Cohomology of finite p-groups of fixed nilpotency class

classification 🧮 math.AT math.GR
keywords classcohomologyfinitenilpotencynumberalgebraboundedd-generated
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Let p be a prime number and let c, d be natural numbers. Then, the number of possible isomorphism types for the mod p cohomology algebra of a d-generated finite p-group of nilpotency class c is bounded by a function depending only on p, c and d.

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