Hopf-Galois structures of isomorphic-type on a non-abelian characteristically simple extension

DOI10.1090/proc/14627zbMath1441.16039arXiv1811.11399OpenAlexW2903158925WikidataQ128207866 ScholiaQ128207866MaRDI QIDQ5238092

Cindy (Sin Yi) Tsang

Publication date: 28 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11399

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Finite simple groups and their classification (20D05) Subgroups of symmetric groups (20B35) Hopf algebras and their applications (16T05)

Related Items (4)

Hopf-Galois structures on finite extensions with almost simple Galois group ⋮ Rota-Baxter groups, skew left braces, and the Yang-Baxter equation ⋮ Finite skew braces with isomorphic non-abelian characteristically simple additive and circle groups ⋮ Hopf–Galois structures on finite extensions with quasisimple Galois group

Cites Work

• Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structures
• Counting Hopf Galois structures on non-abelian Galois field extensions
• Non-existence of Hopf-Galois structures and bijective crossed homomorphisms
• Hopf Galois theory for separable field extensions
• On Cayley's Formula for Counting Trees
• Uniqueness of hopf galois structure for separable field extensions
• HOPF–GALOIS STRUCTURES ON FIELD EXTENSIONS WITH SIMPLE GALOIS GROUPS
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