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math.NT2014★ 1 cited
l-Class groups of cyclic extensions of prime degree l
Manisha Kulkarni, Dipramit Majumdar, Balasubramanian Sury
Let K/F be a cyclic extension of prime degree l over a number field F. If F has class number coprime to l, we study the structure of the l-Sylow subgroup of the class group of K. I…
math.NT2014
Locally potentially equivalent two dimensional Galois representations and Frobenius fields of elliptic curves
Manisha Kulkarni, Vijay M. Patankar, C. S. Rajan
We show that a two dimensional -adic representation of the absolute Galois group of a number field which is locally potentially equivalent to a --adic represent…