Euclidean Algorithm in Imaginary Abelian Sextic Number Fields

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Authors

  • M. Subramani
    IIITDM, Kancheepuram, Chennai-600127, Tamilnadu ,IN
  • Usha K. Sangale
     SRTM University, Vishnupuri, Nanded-431606, Maharastra ,IN

DOI:

https://doi.org/10.18311/jims/2024/29992

Keywords:

Euclidean rings, Number fields, Class number, Non-Wieferich primes, Primitive roots

Abstract

We prove that all imaginary abelian sextic number fields ofunit rank less than 3 and having class number 1 are Euclidean

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Published

2024-01-01

How to Cite

Subramani , M., & Sangale, U. K. (2024). Euclidean Algorithm in Imaginary Abelian Sextic Number Fields. The Journal of the Indian Mathematical Society, 91(1-2), 77–82. https://doi.org/10.18311/jims/2024/29992

Issue

Volume 91, Issue 1-2, January-June 2024

Section

Articles

License

Copyright (c) 2024 M. Subramani , Usha K. Sangale

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2022-04-21
Accepted 2022-06-20
Published 2024-01-01

 

References

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K. Srinivas and M. Subramani, A note on Euclidean cyclic cubic fields, J. Ramanujan Math. Soc., 33(2) (2018), 125 - 133.

M. Ram Murty, K. Srinivas and M. Subramani, Admissible primes and Euclidean quadratic fields, J. Ramanujan Math. Soc., 33(2) (2018), 135 - 147.

The Sage Developers, Sage Mathematics Software (Version 9.8), 2022. https://www.sagemath.org/