First algorithm

In this page you may find the Magma code and the results of the algorithm referred to in T. Crespo, M. Salguero, Computation of Hopf Galois structures on low degree separable extensions and classification of those for degrees p² and 2p, Publ. Mat., to appear, arXiv:1802.09948

This first algorithm computes all Hopf Galois structures on a separable field extension of degree g up to eleven by implementing Greither-Pareigis theorem (J. Algebra 106 (1987), 239-258, 3.1 Theorem ).

Magma code

Results

Tables