研究キーワード (6件)：
整数環
, square root of the inverse different
, skew braces
, holomorph, multiple holomorph
, 正則部分群
, ホップ・ガロワ構造
競争的資金等の研究課題 (4件)：
2021 - 2023 ホップ・ガロワ構造及びskew braceにおける存在問題
2020 - 2021 Insolvable regular subgroups in the holomorph of a finite group
2019 - 2020 On the holomorph and multiple holomorph of finite groups
2017 - 2018 On the comparison between two Galois modules in abelian extensions of number fields
論文 (25件)：
A. Caranti, Cindy (Sin Yi) Tsang. Finite p-groups of class two with a small multiple holomorph. Journal of Group Theory. 2024. 27. 2. 345-381
Cindy (Sin Yi) Tsang. A generalization of Ito's theorem to skew braces. Journal of Algebra. 2024. 642. 367-399
Cindy (Sin Yi) Tsang. Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension. Bulletin of the London Mathematical Society. 2023. 55. 5. 2324-2340
A. Caranti, Cindy (Sin Yi) Tsang. Finite $p$-groups of class two with a large multiple holomorph. Journal of Algebra. 2023. 617. 476-499
Cindy (Sin Yi) Tsang. Hopf-Galois structures on cyclic extensions and skew braces with cyclic multiplicative group. Proceedings of the American Mathematical Society, Series B. 2022. 9. 377-392
A generalization of Ito's theorem to skew braces
(日本数学会秋季総合分科会 2023)
Regular subgroups in the holomorph, fixed point free pairs of homomorphisms, and group factorizations
(Hopf Algebras & Galois Module Theory 2023)
Non-abelian simple groups which can occur as the additive group of a skew brace with solvable multiplicative group
(Oberwolfach Workshop: Skew Braces and the Yang-Baxter Equation 2023)
