Class groups of large ranks in biquadratic fields

Mahesh Kumar Ram

Czechoslovak Mathematical Journal (2024)

  • Volume: 74, Issue: 2, page 429-436
  • ISSN: 0011-4642

Abstract

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For any integer n > 1 , we provide a parametric family of biquadratic fields with class groups having n -rank at least 2. Moreover, in some cases, the n -rank is bigger than 4.

How to cite

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Ram, Mahesh Kumar. "Class groups of large ranks in biquadratic fields." Czechoslovak Mathematical Journal 74.2 (2024): 429-436. <http://eudml.org/doc/299402>.

@article{Ram2024,
abstract = {For any integer $n>1$, we provide a parametric family of biquadratic fields with class groups having $n$-rank at least 2. Moreover, in some cases, the $n$-rank is bigger than 4.},
author = {Ram, Mahesh Kumar},
journal = {Czechoslovak Mathematical Journal},
keywords = {ideal class group; biquadratic field},
language = {eng},
number = {2},
pages = {429-436},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Class groups of large ranks in biquadratic fields},
url = {http://eudml.org/doc/299402},
volume = {74},
year = {2024},
}

TY - JOUR
AU - Ram, Mahesh Kumar
TI - Class groups of large ranks in biquadratic fields
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 2
SP - 429
EP - 436
AB - For any integer $n>1$, we provide a parametric family of biquadratic fields with class groups having $n$-rank at least 2. Moreover, in some cases, the $n$-rank is bigger than 4.
LA - eng
KW - ideal class group; biquadratic field
UR - http://eudml.org/doc/299402
ER -

References

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