Hopf-Galois structures arising from groups with unique subgroup of order \(p\).

DOI10.2140/ant.2016.10.37zbMath1341.20002arXiv1405.4783OpenAlexW2305061617MaRDI QIDQ5963075

Timothy Kohl

Publication date: 4 March 2016

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4783

zbMATH Keywords

separable field extensionsHopf-Galois extensionsregular permutation groupsregular subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Separable extensions, Galois theory (12F10) Automorphisms of abstract finite groups (20D45) Subgroups of symmetric groups (20B35) Hopf algebras and their applications (16T05)

Related Items (5)

Counting Hopf-Galois structures on cyclic field extensions of squarefree degree ⋮ Hopf-Galois structures on extensions of degree \(p^2q\) and skew braces of order \(p^2q\): the cyclic Sylow \(p\)-subgroup case ⋮ Hopf-Galois structures of squarefree degree ⋮ Inducing braces and Hopf Galois structures ⋮ Hopf-Galois structures on finite extensions with almost simple Galois group

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