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math.NT2025
The decomposition of primes in nonabelian extensions of Heisenberg type and an analogue of Euler's criterion
Dohyeong Kim, Ingyu Yang
For primes and such that divides , Hirano and Morishita constructed a nonabelian Galois extension of the function field whose degree is $\e…
math.NT2024
Non-vanishing mod of derived Hecke algebra of the multiplicative group over number field
Dohyeong Kim, Jaesung Kwon
We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. The degree one part of the action is…