Computational Algebra and Number Theory

1 Calculating Growth Functions for Groups Using Automata.- 2 The Minimal Faithful Degree of a Finite Commutative Inverse Semigroup.- 3 Generalisations of the Todd-Coxeter Algorithm.- 4 Computing Left Kan Extensions Using the Todd—Coxeter Procedure.- 5 Computing Finite Soluble Quotients.- 6 Computing Automorphism Groups of p-Groups.- 7 The Art and Science of Computing in Large Groups.- 8 Does the Set of Points of an Elliptic Curve Determine the Group?.- 9 An Implementation of the Elliptic Curve Integer Factorization Method.- 10 Continued Fractions of Algebraic Numbers.- 11 Bounds for Class Numbers of Quadratic Orders.- 12 Short Representation of Quadratic Integers.- 13 A Density Conjecture for the Negative Pell Equation.- 14 Computing Aurifeuillian Factors.- 15 Computation of Cyclotomic Polynomials with Magma.- 16 On Some Characteristics of Uniformity of Distribution and Their Applications.- 17 Recent Progress on Consistency Testing for Polynomial Systems.- 18 A New Generalisation of the Kummer Congruence.- 19 Series Expansions of Algebraic Functions.- 20 Generation of Cocyclic Hadamard Matrices.- 21 Large Cayley Graphs and Digraphs with Small Degree and Diameter.- 22 Hyperbolic Pyritohedra Constructed from the Coxeter Group [4,3,5].