Exploring the 2-Part of Class Groups in Quadratic Fields: Perspectives on the Cohen–Lenstra Conjectures

Exploring the 2-Part of Class Groups in Quadratic Fields: Perspectives on the Cohen–Lenstra Conjectures

Cohen and Lenstra introduced conjectures concerning the distribution of class numbers in quadratic fields, though many of these conjectures remain unproven. This paper investigates the 2-part of class groups in imaginary quadratic fields and examines their alignment with the Cohen–Lenstra heuristics...

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Bibliographic Details
Main Authors: Yong Wang, Huili Zhang, Ying Zhou, Haopeng Deng, Lingyue Li
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
quadratic fields
class numbers
class groups
Cohen–Lenstra conjecture
Online Access:https://www.mdpi.com/2227-7390/13/1/51
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