On a Galois connection between the subfield lattice and the multiplicative subgroup lattice.

DOI10.2140/PJM.2013.264.213zbMath1310.06006OpenAlexW1971038091MaRDI QIDQ363341

John K. McVey

Publication date: 2 September 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2013.264.213

zbMATH Keywords

finite fieldsirreducible representationslattices of subgroupsGalois connectionsGalois correspondenceslattices of intermediate fields

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Separable extensions, Galois theory (12F10) Series and lattices of subgroups (20D30) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

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Computing character degrees via a Galois connection

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