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Solving Puzzles related to Permutation Groups  (Make Corrections)  
Sebastian Egner, Markus Püschel
ISSAC: Proceedings of the ACM SIGSAM International Symposium on Symbolic and Algebraic Computation (formerly SYMSAM, SYMSAC, EUROSAM, EUROCAL) (also sometimes in cooperation with the Symbolic and Algebraic Manipulation Groupe in Europe (SAME))



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Abstract: Physical puzzles that can be solved with methods for permutation groups are considered and classified according to a number of abstract properties. The approach for solution is based on word stabilizer chains (the transversal elements are factored in words in a given list of generators). New methods are presented to construct word stabilizer chains that take advantage of the special structures present in physical puzzles. In many cases the methods are successful in avoiding the exponential... (Update)

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BibTeX entry:   (Update)

@inproceedings{ egner98solving,
    author = "Egner and Puschel",
    title = "Solving Puzzles related to Permutation Groups",
    booktitle = "{ISSAC}: Proceedings of the {ACM} {SIGSAM} International Symposium on Symbolic and Algebraic Computation (formerly {SYMSAM}, {SYMSAC}, {EUROSAM}, {EUROCAL}) (also sometimes in cooperation with the Symbolic and Algebraic Manipulation Groupe in Europe ({SAME}))",
    year = "1998",
    url = "citeseer.ist.psu.edu/18497.html" }
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62   Endliche Gruppen (context) - Huppert - 1983
28   Fundamental Algorithms for Permutation Groups (context) - Butler - 1991
22   Fast Management of Permutation Groups (context) - Babai, Luks et al. - 1997
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12   New Methods for Using Cayley Graphs in Interconnection Netwo.. - Cooperman, Finkelstein - 1992
2   Institut fur Informatik und Praktische Mathematik (context) - Matz, Miller et al. - 1995
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