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Knots in Washington XXIX; 30 years of quandles, 10 years of Khovanov homology
December 4-6, 2009
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (GWU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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The second quandle homology of Takasaki keis (quandles)
by
Jozef H. Przytycki
George Washington University
Coauthors: Maciej Niebrzydowski (UL at Lafayette)

Let G be an abelian group and T(G) its Takasaki quandle that is the quandle with g*h = 2h-g. We start the systematic study of the second homology of Takasaki quandles. We show, in particular, that H2(T(Z4k)) = Z22 ⊕Z2. We discuss the conjecture that for T(Zpk) the second homology is equal to Zpn(n-1)/2, for p an odd prime number.

Date received: December 4, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cazp-22.