Cohomology of p-groups of nilpotency class smaller than p-Reference-Cited by-同舟云学术

Cohomology of p-groups of nilpotency class smaller than p

Published:2018-01-17 Issue:2 Volume:21 Page:337-350
ISSN:1435-4446
Container-title:Journal of Group Theory
language:en
Short-container-title:

Author:

Díaz Ramos Antonio¹,Garaialde Ocaña Oihana²,González-Sánchez Jon³

Affiliation:

1. Departamento de Álgebra, Geometría y Topología , Universidad de Málaga , Apdo correos 59, 29080 Málaga , Spain

2. Mathematisches Institut , Heinrich-Heine Universität Düsseldorf , 40225 Düsseldorf , Germany

3. Departamento de Matemáticas , Facultad de Ciencia y Tecnología , Universidad del País Vasco , Apdo correos 644, 48080 Bilbao , Spain

Abstract

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 ; 𝔽 p )

{H^{*}(G;{\mathbb{F}}_{p})}

is bounded in terms of p and d.

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Reference12 articles.

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