Charles C. Sims's Computation with Finitely Presented Groups (Encyclopedia of PDF

By Charles C. Sims

ISBN-10: 0521135079

ISBN-13: 9780521135078

ISBN-10: 0521432138

ISBN-13: 9780521432139

study in computational team idea, an energetic subfield of computational algebra, has emphasized 3 parts: finite permutation teams, finite solvable teams, and finitely provided teams. This ebook offers with the 3rd of those components. the writer emphasises the connections with primary algorithms from theoretical desktop technological know-how, quite the speculation of automata and formal languages, computational quantity concept, and computational commutative algebra. The LLL lattice aid set of rules and diverse algorithms for Hermite and Smith general kinds from computational quantity idea are used to check the abelian quotients of a finitely provided workforce. The paintings of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is defined as a generalisation of Buchberger's Gröbner foundation the way to correct beliefs within the essential workforce ring of a polycyclic team. Researchers in computational staff idea, mathematicians attracted to finitely provided teams and theoretical machine scientists will locate this publication useful.

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Computation with Finitely Presented Groups (Encyclopedia of Mathematics and its Applications) by Charles C. Sims

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