Exploring Css 307 1 Algebra And Computation Lecture 2

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  • Agenda: [Algorithms for perm. groups]
  • Agenda: [Introduction] Administrivia and course structure, introducing groups and actions via permutation puzzles.
  • Agenda: [Commutators and conjugates] Understanding commutators and conjugates; solving a Rubik's cube (and other perm.
  • Agenda: [Univariate factorisation] Repeated factors and derivatives, distinct degree factorisation and the Cantor-Zassenhaus ...
  • Agenda: [Factorising integer polynomials -

In-Depth Information on Css 307 1 Algebra And Computation Lecture 2

Agenda: [Group theory basics] Crash course on basic group theory and a SageMath demo. Agenda: [Polynomial multiplication] Adjoining artificial roots of unity, the Schönhage-Strassen algorithm for polynomial ... Agenda: [Bivariate factorisation - I] Proof of CRT, Gauss Lemma, Resultants and bivariate GCD. Agenda: [Applications of fast PolyMult] Finding quotients and remainders efficiently, general multipoint evaluations, and ...

Agenda: [Membership test + more] Efficient membership test for permutation groups, and other algos. Revisiting Graph ...

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