Nonabelian Case of Hopf Galois Structures on Nonnormal Extensions of Degree pqw
نویسندگان
چکیده
We look at Hopf Galois structures with square free pqw degree on separable field extensions (nonnormal) L/K. Where E/K is the normal closure of L/K, group permutation G = Gal(E/K). study details nonabelian case, where Jl ⟨σ, [τ, αl ]⟩ a regular subgroup Hol(N) for 1 ≤ l w − 1. first find G, and then each G. In this there exists four such that are admissible within
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Hopf Galois structures on Kummer extensions of prime power degree
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ژورنال
عنوان ژورنال: European Journal of Pure and Applied Mathematics
سال: 2023
ISSN: ['1307-5543']
DOI: https://doi.org/10.29020/nybg.ejpam.v16i2.4755