Ideal class groups of real cyclotomic fields

Abstract Let G be a finite abelian group. We prove that there exists a positive density subfamily of real cyclotomic fields whose ideal class groups contain a subgroup isomorphic to G .

Authors

Institutions

Publication Details

Journal
The Ramanujan Journal
Published
2026-01-30
DOI
https://doi.org/10.1007/s11139-026-01324-6
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Ideal class groups of real cyclotomic fields

Dongho Byeon
The Ramanujan Journal
Rings, Modules, and Algebras
article

Ideal class groups of real cyclotomic fields

Dongho Byeon
article en

Abstract

Abstract Let G be a finite abelian group. We prove that there exists a positive density subfamily of real cyclotomic fields whose ideal class groups contain a subgroup isomorphic to G .

The Ramanujan JournalVol. 69(2)
Seoul National University (KR), National Institute for Mathematical Sciences (KR)
Openalex Percentile: Top 65%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.