In group theory, the Todd–Coxeter algorithm, created by J. A. Todd and H. S. M. Coxeter in 1936, is an algorithm for solving the coset enumeration problem...

the Coxeter graph, Coxeter groups, Coxeter's loxodromic sequence of tangent circles, Coxeter–Dynkin diagrams, and the Todd–Coxeter algorithm. Coxeter was...

original algorithm for coset enumeration was invented by John Arthur Todd and H. S. M. Coxeter. Various improvements to the original Todd–Coxeter algorithm have...

and dates from a collaboration with H.S.M. Coxeter in 1936. In 1953 he and Coxeter discovered the Coxeter–Todd lattice. In 1954 he and G. C. Shephard classified...

algorithms in computational group theory include: the Schreier–Sims algorithm for finding the order of a permutation group the Todd–Coxeter algorithm...

finite field Schreier–Sims algorithm: computing a base and strong generating set (BSGS) of a permutation group Todd–Coxeter algorithm: Procedure for generating...

S). The graph is useful to understand coset enumeration and the Todd–Coxeter algorithm. Coset graphs can be used to form large permutation representations...

reflection groups encouraged the developments of J. A. Todd and Coxeter, such as the Todd–Coxeter algorithm in combinatorial group theory. Algebraic groups,...

computable; other algorithms for groups may, in suitable circumstances, also solve the word problem, see the Todd–Coxeter algorithm and the Knuth–Bendix...

Coset enumeration Schreier's subgroup lemma Schreier–Sims algorithm Todd–Coxeter algorithm Computer algebra system Cryptography Discrete logarithm Triple...

Coxeter groups, so the affine symmetric groups are Coxeter groups, with the s i {\displaystyle s_{i}} as their Coxeter generating sets. Each Coxeter group...

{\displaystyle a} and z . {\displaystyle z.} In fact, the symmetric group is a Coxeter group, meaning that it is generated by elements of order 2 (the adjacent...

fixed by a certain automorphism of order 2, and is analogous to the Coxeter–Todd lattice. The automorphism group of the Barnes–Wall lattice has order...

generations of mathematicians, of Euler's formula for polyhedra. H.S.M. Coxeter (1973) Regular Polytopes ISBN 9780486614809, Chapter IX "Poincaré's proof...

(link) Coxeter, H. S. M. (December 4, 1964). "Geometry". Science. New Series. 146 (3649): 1288. doi:10.1126/science.146.3649.1288. JSTOR 1714987. Todd, J...