Burnside kei

• Autorzy: Maciej Niebrzydowski , Józef H. Przytycki
• Języki publikacji: EN

Abstrakty

EN

This paper is motivated by a general question: for which values of k and n is the universal Burnside kei Q̅(k,n) finite? It is known (starting from the work of M. Takasaki (1942)) that Q̅(2,n) is isomorphic to the dihedral quandle Zₙ and Q̅(3,3) is isomorphic to Z₃ ⊕ Z₃. In this paper, we give a description of the algebraic structure for Burnside keis Q̅(4,3) and Q̅(3,4). We also investigate some properties of arbitrary quandles satisfying the universal Burnside relation a = ⋯ a∗b∗ ⋯ ∗a∗b. Invariants of links related to the Burnside kei Q̅(k,n) are invariant under n-moves.

Kategorie tematyczne

• 55N99: None of the above, but in this section
• 57M25: Knots and links in S 3
• 20D99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 190
• Numer: 1
• Strony: 211-229

Daty

wydano

2006

Twórcy

autor

Maciej Niebrzydowski

• Department of Mathematics, The George Washington University, Old Main Bldg, 1922 F St. NW, Washington, DC 20052, U.S.A.

autor

Józef H. Przytycki

• Department of Mathematics, The George Washington University, Old Main Bldg, 1922 F St. NW, Washington, DC 20052, U.S.A.

Identyfikatory

DOI

10.4064/fm190-0-8