Class groups of large ranks in biquadratic fields
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 2, pp. 429-436
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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.
DOI :
10.21136/CMJ.2024.0356-23
Classification :
11R11, 11R29
Keywords: ideal class group; biquadratic field
Keywords: ideal class group; biquadratic field
@article{10_21136_CMJ_2024_0356_23,
author = {Ram, Mahesh Kumar},
title = {Class groups of large ranks in biquadratic fields},
journal = {Czechoslovak Mathematical Journal},
pages = {429--436},
year = {2024},
volume = {74},
number = {2},
doi = {10.21136/CMJ.2024.0356-23},
mrnumber = {4764532},
zbl = {07893391},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0356-23/}
}
TY - JOUR AU - Ram, Mahesh Kumar TI - Class groups of large ranks in biquadratic fields JO - Czechoslovak Mathematical Journal PY - 2024 SP - 429 EP - 436 VL - 74 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0356-23/ DO - 10.21136/CMJ.2024.0356-23 LA - en ID - 10_21136_CMJ_2024_0356_23 ER -
Ram, Mahesh Kumar. Class groups of large ranks in biquadratic fields. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 2, pp. 429-436. doi: 10.21136/CMJ.2024.0356-23
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