Cohomology of finite p-groups of fixed nilpotency class

2018/02/26 by Ocaña, Oihana Garaialde, González-Sánchez, Jon
#Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1802.09459

Abstract

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.

Related

• Cohomology of p-groups of nil potency class smaller than p
• Rank, coclass and cohomology
• The isomorphism problem for graded algebras and its application to mod-p cohomology rings of small p-groups
• A Bound for the Nilpotency Class of a Finite p-Group in terms of its Coexponent
• Nilpotence in Group Cohomology