Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Group theory --- Permutation groups. --- Solvable groups. --- 51 --- Permutation groups --- Solvable groups --- Soluble groups --- Substitution groups --- Mathematics --- 51 Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Algebra --- Topological groups. Lie groups --- Computer science --- Algorithms --- Matrix groups --- Permutation groups --- Substitution groups --- Group theory --- Matrices --- Algorism --- Arithmetic --- Foundations --- Permutation groups. --- Matrix groups. --- Algorithms. --- Groupes de permutations --- Matrices, Groupes de --- Algorithmes --- Groupes de permutations. --- Matrices, Groupes de. --- Algorithmes.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The subject of this book is the action of permutation groups on sets associated with combinatorial structures. Each chapter deals with a particular structure: groups, geometries, designs, graphs and maps respectively. A unifying theme for the first four chapters is the construction of finite simple groups. In the fifth chapter, a theory of maps on orientable surfaces is developed within a combinatorial framework. This simplifies and extends the existing literature in the field. The book is designed both as a course text and as a reference book for advanced undergraduate and graduate students. A feature is the set of carefully constructed projects, intended to give the reader a deeper understanding of the subject.

Combinatorial analysis. --- Permutation groups. --- Ordered algebraic structures --- Discrete mathematics --- 512.54 --- Combinatorial analysis --- Permutation groups --- Substitution groups --- Group theory --- Combinatorics --- Algebra --- Mathematical analysis --- 512.54 Groups. Group theory --- Groups. Group theory --- Groupes de permutations --- Analyse combinatoire

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Ordered algebraic structures --- Ordered algebraic structures. --- Structures algébriques ordonnées. --- Betweenness relations (Mathematics) --- Automorphisms. --- Automorphismes. --- Permutation groups. --- Groupes de permutations. --- Automorphisms --- Permutation groups --- Substitution groups --- Group theory --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Algebra --- B-sets --- Between relations (Mathematics) --- Betweenness (Mathematics) --- Intermediacy (Mathematics) --- Relations of between (Mathematics) --- Relations of betweenness (Mathematics) --- Relations related to betweenness (Mathematics) --- Set theory --- Symmetry (Mathematics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given in terms of the fundamental groupoid, giving results and proofs that are both stronger and simpler than the traditional ones. Several chapters deal with covering spaces and complexes, an important method, which is then applied to yield the major Schreier and Kurosh subgroup theorems. The author presents a full account of Bass-Serre theory and discusses the word problem, in particular, its unsolvability and the Higman Embedding Theorem. Included for completeness are the relevant results of computability theory.

Combinatorial group theory. --- Topology. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Combinatorial groups --- Groups, Combinatorial --- Combinatorial analysis --- Group theory --- Combinatorial group theory --- Topology --- 512.542.7 --- 515.14 --- 515.14 Algebraic topology --- Algebraic topology --- 512.542.7 Permutation groups --- Permutation groups