Abstract
We apply a result of Kani relating genera and Hasse-Witt invariants of Galois extensions to a family of abelian $p$-extensions. Our formulas generalize the case of elementary abelian $p$-extensions found by Garcia and Stichtenoth.
Citation
Fausto Jarquin-Zarate. Martha Rzedowski-Calderon. Gabriel Villa-Salvador. "Genus formulas for abelian $p$-extensions." Rocky Mountain J. Math. 48 (6) 1905 - 1915, 2018. https://doi.org/10.1216/RMJ-2018-48-6-1905
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