Abstract
We construct an infinite family of real cyclotomic fields with non-trivial class group. This result generalizes some results of [6] in the sense that our family includes theirs.
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Acknowledgements
This article is a part of author’s master thesis; the author would like to extend his heartfelt thanks to Prof. Kalyan Chakraborty for supervising the thesis and his continuous support, suggestions, remarks throughout.The author would also like to thank Mohit Mishra for going through the article and his continuous support in the completion of this article. The author is thankful to the anonymous referee for his/her suggestions/corrections which has immensely helped improving the manuscript. The scenic ambience of KSoM and support of the colleagues played an important role in completing the work.
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Communicated by Rahul Roy.
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Prakash, O. A note on the class number of certain real cyclotomic fields. Indian J Pure Appl Math (2024). https://doi.org/10.1007/s13226-024-00544-0
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DOI: https://doi.org/10.1007/s13226-024-00544-0