Relations Between Invariants in Z2p-Extensions.
Albert A. Cuoco (1982)
Mathematische Zeitschrift
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Albert A. Cuoco (1982)
Mathematische Zeitschrift
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Murray Schacher, Burton Fein (1978)
Mathematische Zeitschrift
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Murray Schacher, Burton Fein (1977)
Mathematische Zeitschrift
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Paul Monsky (1986)
Mathematische Zeitschrift
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Paul Monsky (1981)
Mathematische Annalen
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Shoichi Nakajima (1985)
Mathematische Zeitschrift
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Kulish, P.P., Nikitin, A.M. (2000)
Zapiski Nauchnykh Seminarov POMI
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Jean Barge (1989)
Mathematische Annalen
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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.
Alexander B. Merkov (1999)
Publications de l'Institut Mathématique
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Eduardo Friedman (1985)
Mathematische Annalen
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Robert C. Valentini (1987)
Mathematische Zeitschrift
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J. Kaczorowski, A. Perelli (2008)
Acta Arithmetica
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Nicholas J. Kuhn (1987)
Mathematische Zeitschrift
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