Abstract
We consider the real pure quartic number field , where is a prime number and is a square-free positive integer such that is prime to . We compute the -rank of the class group of and as an application we exhibit all possible forms of for which the -class group of is trivial (equivalently: the class number of is odd), cyclic or isomorphic to , where .
Citation
Mbarek Haynou. Bouchaïb Sodaïgui. Mohammed Taous. "THE 2-RANK OF THE REAL PURE QUARTIC NUMBER FIELD ." Rocky Mountain J. Math. 53 (1) 27 - 48, February 2023. https://doi.org/10.1216/rmj.2023.53.27
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