03907nam 2200637 450 991081258800332120170814182031.00-8218-7939-10-8218-5684-7(CKB)3240000000069875(EBL)3113238(SSID)ssj0000850320(PQKBManifestationID)11440073(PQKBTitleCode)TC0000850320(PQKBWorkID)10833038(PQKB)11543493(MiAaPQ)EBC3113238(WaSeSS)Ind00039235(RPAM)13565437(PPN)197106765(EXLCZ)99324000000006987520040421h20042004 uy| 0engur|n|---|||||txtccrComputational and experimental group theory AMS-ASL joint special session, interactions between logic, group theory, and computer science, January 15-16, 2003, Baltimore, Maryland /Alexandre V. Borovik, Alexei G. Myasnikov, editorsProvidence, Rhode Island :American Mathematical Society,[2004]©20041 online resource (234 p.)Contemporary mathematics,0271-4132 ;349Description based upon print version of record.0-8218-3483-5 Includes bibliographical references.""Contents""; ""Preface""; ""Quantum algorithms in group theory""; ""1. Introduction""; ""2. The basics of quantum computing""; ""3. The Deutschâ€?Jozsa algorithm""; ""4. Shor's algorithm and factoring integers""; ""5. Grover's algorithm""; ""6. Watrous' algorithms for solvable groups""; ""References""; ""Genetic algorithms and equations in free groups and semigroups""; ""1. Introduction""; ""2. A genetic algorithm framework on the free group""; ""3. Choosing problems""; ""4. Traceback""; ""5. Coevolution""; ""6. The genus problem and equations in a free semigroup""""7. The algorithm for the genus problem""""8. Discussion""; ""9. One more case study: restricted conjugacy problem in free partially commutative groups""; ""References""; ""One variable equations in free groups via context free languages""; ""1. Introduction""; ""2. Results from Language Theory""; ""3. Proof of Theorem 1""; ""References""; ""Whitehead method and genetic algorithms""; ""1. Introduction""; ""2. Whitehead method""; ""3. Description of the genetic algorithm""; ""4. Experiments and results""; ""5. Time complexity of GWA""; ""6. Mathematical problems arising from the experiments""""References""""The structure of automorphic conjugacy in the free group of rank two""; ""1. The automorphism graph of F2""; ""2. Combinatorial groundwork""; ""3. The structure within levels""; ""4. Algorithmic applications""; ""5. Computational tools""; ""6. Conclusions and future work""; ""References""; ""Pattern recognition approaches to solving combinatorial problems in free groups""; ""1. Introduction""; ""2. General remarks on pattern recognition tasks""; ""3. Feature vectors""; ""4. Pattern recognition tools and models""; ""5. Recognizing Whitehead minimal words in free groups""""References""""Experimenting with primitive elements in F2""Contemporary mathematics (American Mathematical Society) ;349.Permutation groupsCongressesNon-Abelian groupsCongressesQuantum theoryMathematicsCongressesPermutation groupsNon-Abelian groupsQuantum theoryMathematics512/.21Borovik AlexandreMyasnikov Alexei G.1955-MiAaPQMiAaPQMiAaPQBOOK9910812588003321Computational and experimental group theory669650UNINA