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math.GR2019
Hopf-Galois structures on finite extensions with almost simple Galois group
Cindy Tsang
In this paper, we study the Hopf-Galois structures on a finite Galois extension whose Galois group is an almost simple group in which the socle has prime index . Each Ho…
math.GR2019
On the multiple holomorph of groups of squarefree or odd prime power order
Cindy Tsang
Let be a group and write $\mbox{Perm}(G)$ for its symmetric group. Define $\mbox{Hol}(G)$ to be the holomorph of , regarded as a subgroup of $\mbox{Perm}(G)$, and let $\mbox…
math.GR2019
On the multiple holomorph of a finite almost simple group
Cindy Tsang
Let be a group. Let denote its symmetric group and write for the normalizer of the subgroup of left translations in . The…
math.GR2019
On the solvability of regular subgroups in the holomorph of a finite solvable group
Cindy Tsang, Chao Qin
We exhibit infinitely many natural numbers for which there exists at least one insolvable group of order , and yet the holomorph of any solvable group of order has no in…