The mod-2 cohomology rings of symmetric groups

Autor:	Chad Giusti, Paolo Salvatore, Dev Sinha
Rok vydání:	2012
Předmět:	Pure mathematics Mathematics::K-Theory and Homology Symmetric group Mod Settore MAT/03 - Geometria Geometry and Topology Homology (mathematics) Mathematics::Algebraic Topology Cohomology Mathematics
Zdroj:	Journal of Topology. 5:169-198
ISSN:	1753-8416
DOI:	10.1112/jtopol/jtr031
Popis:	We present a new additive basis for the mod-2 cohomology of symmetric groups, along with explicit rules for multiplication and application of Steenrod operations in that basis. The key organizational tool is a Hopf ring structure introduced by Strickland and Turner. We elucidate some of the relationships between our approach and previous approaches to the homology and cohomology of symmetric groups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a72dbd8b06e57f922d3db7a536235ffc https://doi.org/10.1112/jtopol/jtr031 Zobrazit plný text záznamu Plný text ve formátu PDF