Event
01_1
| 제출번호(No.) | 0113 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Topology (TO) |
| 영문제목 (Title(Eng.)) |
On 2-cocylces and abelian extensions of a finite quandle |
| 저자(Author(s)) |
Yongju Bae1, Byeorhi Kim1 Kyungpook National University1 |
| 초록본문(Abstract) | Quandle 2-coclye $\phi$ is a function from $Q\times Q$ to an abelian group $A$ satisfying cocycle conditions. In 2003, Carter, Jelsovsky, Kamada, Langford and Saito proved that for a quandle 2-cocylce $\phi$, $X\times A$ became a quandle by $(x,a)*(y,b)=(x*y, a+\phi(x,y))$. In this talk, we will observe the matrices of quandle 2-cocylces and the quandle operation tables of abelian extensions obtained from the cocycle matrices. |
| 분류기호 (MSC number(s)) |
57M25 |
| 키워드(Keyword(s)) | quandle, quandle 2-cocycle, abelian extension |
| 강연 형태 (Language of Session (Talk)) |
Korean |