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math.GR2020
Quandles with orbit series conditions
Marco Bonatto, Alissa S. Crans, Timur Nasybullov +1
We introduce the notion of an orbit series in a quandle. Using this notion we define four families of quandles based on finiteness conditions on their orbit series. Intuitively, th…
math.GR2007
Musical Actions of Dihedral Groups
Alissa S. Crans, Thomas M. Fiore, Ramon Satyendra
The sequence of pitches which form a musical melody can be transposed or inverted. Since the 1970s, music theorists have modeled musical transposition and inversion in terms of an…