Conway's Group CO3 and the Dickson Invariants.
Dave Benson (1994)
Manuscripta mathematica
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Dave Benson (1994)
Manuscripta mathematica
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Alexander B. Merkov (1999)
Publications de l'Institut Mathématique
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Fogarty, John (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
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Kulish, P.P., Nikitin, A.M. (2000)
Zapiski Nauchnykh Seminarov POMI
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Sam Nelson (2014)
Fundamenta Mathematicae
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We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack's second rack cohomology satisfying a new degeneracy condition which reduces to the usual case for quandles.
T.D. Cochran (1985)
Inventiones mathematicae
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Yuka Kotorii (2014)
Fundamenta Mathematicae
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We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.
T.D. Cochran (1987)
Inventiones mathematicae
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Lous H. Kauffman, Sóstences Lins (1991)
Manuscripta mathematica
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Polyak, Michael (2005)
Algebraic & Geometric Topology
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Nathan Geer (2014)
Banach Center Publications
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We show that the coefficients of the re-normalized link invariants of [3] are Vassiliev invariants which give rise to a canonical family of weight systems.
Slavik Jablan (2000)
Visual Mathematics
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Xiao-Song Lin (1998)
Banach Center Publications
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J. Kaczorowski, A. Perelli (2008)
Acta Arithmetica
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