17 citations · 94 across the 22 of their papers we have counts for
22 papers
A generalization of Ito's theorem to skew braces
Cindy Tsang
The famous theorem of Itô in group theory states that if a group is the product of two abelian subgroups and , then is metabelian. We shall generalize this to the…
Finite -groups of class two with a small multiple holomorph
A. Caranti, Cindy Tsang
We consider the quotient group of the multiple holomorph by the holomorph of a finite -group of class two for an odd prime . By work of the first-named author, we…
Finite -groups of class two with a large multiple holomorph
A. Caranti, Cindy Tsang
Let be any group. The quotient group of the multiple holomorph by the holomorph of has been investigated for various families of groups . In this paper, we shall…
Hopf-Galois structures on cyclic extensions and skew braces with cyclic multiplicative group
Cindy Tsang
Let and be two finite groups of the same order. It is well-known that the existences of the following are equivalent: (a) a Hopf-Galois structure of type on any Galois…
The multiple holomorph of centerless groups
Cindy Tsang
Let be a group. The holomorph may be defined as the normalizer of the subgroup of either left or right translations in the group of all permutations of . T…
Finite skew braces with isomorphic non-abelian characteristically simple additive and circle groups
Cindy Tsang
A skew brace is a triplet , where and are groups such that the brace relation …