Autor: |
Jamal, Baraa Muthana, Alabdali, Ali A. |
Předmět: |
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Zdroj: |
AIP Conference Proceedings; 2023, Vol. 2834 Issue 1, p1-15, 15p |
Abstrakt: |
We study Hopf Galois structures on separable field extensions (nonnormal) L/K such that the degree is square free pqw. The group permutation of degree pqw is G = Gal(E/K) where E/K is the normal closure of L/K. We investigate in details the cyclic case where q, w ≥ 3 and p = 2w + 1 are all square free primes. We determine the group permutations G, then for each G we determine the Hopf Galois structures. There exists fifty four G such that the field extensions L/K admit the Hopf Galois structures in this case. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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