Cohomology of uniserial p-adic space groups with cyclic point group

Let p be a fixed prime number and let R denote a uniserial p-adic space group of dimension d_x=p^{x-1}(p-1) and with cyclic point group of order p^x. In this short note we prove that all the quotients of R of size bigger than or equal to p^{d_x+x} have isomorphic mod-p cohomology groups. In particul...

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Detalles Bibliográficos
Autor: Garaialde Ocaña, Oihana
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/72051
Acceso en línea:http://hdl.handle.net/10810/72051
Access Level:acceso abierto
Descripción
Sumario:Let p be a fixed prime number and let R denote a uniserial p-adic space group of dimension d_x=p^{x-1}(p-1) and with cyclic point group of order p^x. In this short note we prove that all the quotients of R of size bigger than or equal to p^{d_x+x} have isomorphic mod-p cohomology groups. In particular, we show that the cohomology groups of sufficiently large quotients of the unique maximal class pro-p group are isomorphic as F_p-modules.

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