Group Theory

Download E-books Computation with Finitely Presented Groups (Encyclopedia of Mathematics and its Applications) PDF

By Charles C. Sims

The ebook describes equipment for operating with components, subgroups, and quotient teams of a finitely provided workforce. the writer emphasizes the relationship with primary algorithms from theoretical machine technological know-how, fairly the speculation of automata and formal languages, from computational quantity idea, and from computational commutative algebra. The LLL lattice aid set of rules and diverse algorithms for Hermite and Smith common types are used to review the Abelian quotients of a finitely provided crew. The paintings of Baumslag, Cannonito, and Miller on computing non-Abelian polycyclic quotients is defined as a generalization of Buchberger's Gröbner foundation the right way to correct beliefs within the critical staff ring of a polycyclic workforce.

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Read or Download Computation with Finitely Presented Groups (Encyclopedia of Mathematics and its Applications) PDF

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