Download PDF by Charles C. Sims: Computation with Finitely Presented Groups (Encyclopedia of

By Charles C. Sims

ISBN-10: 0521135079

ISBN-13: 9780521135078

ISBN-10: 0521432138

ISBN-13: 9780521432139

study in computational staff conception, an energetic subfield of computational algebra, has emphasized 3 components: finite permutation teams, finite solvable teams, and finitely awarded teams. This e-book offers with the 3rd of those parts. the writer emphasises the connections with basic algorithms from theoretical laptop technology, relatively the speculation of automata and formal languages, computational quantity idea, and computational commutative algebra. The LLL lattice relief set of rules and numerous algorithms for Hermite and Smith general kinds from computational quantity conception are used to check the abelian quotients of a finitely offered crew. The paintings of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is defined as a generalisation of Buchberger's Gröbner foundation easy methods to correct beliefs within the quintessential team ring of a polycyclic team. Researchers in computational team idea, mathematicians drawn to finitely provided teams and theoretical laptop 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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