C. Tsang

activity

20182023

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3 papers · 1 filter

math.GR2018

Hopf-Galois structures on a Galois $S_{n}$ -extension

Cindy Tsang

In this paper, we shall determine the exact number of Hopf-Galois structures on a Galois $S_{n}$ -extension, where $S_{n}$ denotes the symmetric group on $n$ letters.

math.GR2018

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

Cindy Tsang

Let $L / K$ be a finite Galois extension whose Galois group $G$ is non-abelian and characteristically simple. Using tools from graph theory, we shall give a closed formula for the nu…

math.GR2018

Non-existence of Hopf-Galois structures and bijective crossed homomorphisms

Cindy Tsang

By work of C. Greither and B. Pareigis as well as N. P. Byott, the enumeration of Hopf-Galois structures on a Galois extension of fields with Galois group $G$ may be reduced to tha…

Hopf-Galois structures on a Galois Sn​-extension

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

Non-existence of Hopf-Galois structures and bijective crossed homomorphisms

Hopf-Galois structures on a Galois $S_{n}$ -extension