Cohomology of uniserial p-adic space groups

A decade ago, J. F. Carlson proved that there are finitely many cohomology rings of finite 2-groups of fixed coclass, and he conjectured that this result ought to be true for odd primes. In this paper, we prove the non-twisted case of Carlson’s conjecture for any prime and we show how to proceed in...

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Detalles Bibliográficos
Autores: Díaz Ramos, Antonio, Garaialde Ocaña, Oihana, González Sánchez, Jon
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:10810/72050
Acceso en línea:http://hdl.handle.net/10810/72050
Access Level:acceso abierto
Palabra clave:Cohomology ring
Spectral sequences
Uniserial p-adic space groups
Descripción
Sumario:A decade ago, J. F. Carlson proved that there are finitely many cohomology rings of finite 2-groups of fixed coclass, and he conjectured that this result ought to be true for odd primes. In this paper, we prove the non-twisted case of Carlson’s conjecture for any prime and we show how to proceed in the twisted case.