Topology and Combinatorial Group Theory : Proceedings of the Fall Foliage Topology Seminars held in New Hampshire 1986-1988 / edited by Paul Latiolais.

Format:

Book

Contributor:

Latiolais, P. (Paul), editor.

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1440.

Lecture Notes in Mathematics, 0075-8434 ; 1440

Language:

English

Subjects (All):

Algebra.

Algebraic topology.

Group theory.

Algebraic Topology.

Mathematical Modeling and Industrial Mathematics.

Group Theory and Generalizations.

Local Subjects:

Algebra.

Algebraic Topology.

Mathematical Modeling and Industrial Mathematics.

Group Theory and Generalizations.

Physical Description:

1 online resource (VIII, 212 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990.

System Details:

text file PDF

Summary:

This book demonstrates the lively interaction between algebraic topology, very low dimensional topology and combinatorial group theory. Many of the ideas presented are still in their infancy, and it is hoped that the work here will spur others to new and exciting developments. Among the many techniques disussed are the use of obstruction groups to distinguish certain exact sequences and several graph theoretic techniques with applications to the theory of groups.

Contents:

On two relator groups

When is the homotopy set [X, Y] infinite?

Local collapses for diagrammatic reducibility

Periodic knots and desuspensions of free involutions on spheres

The Tits conjecture and the five string braid group

The finite basis extension property and graph groups

Subgroup presentations without coset representatives

Fractal dimensions of limit sets of some Kleinian groups

Bounded cancellation of automorphisms of free products

A short topological proof of Cohn's theorem

On the homotopy type of 2-complexes with a free product of cyclic groups as fundamental group

Bias ideals and obstructions to simple-homotopy equivalence

Embeddings of acyclic 2-complexes in S 4 with contractible complement

Fixed subsets of homomorphisms of free groups

Note on a conjecture of Stephen Halperin's

On the rank, the deficiency and the homological dimension of groups: The computation of a lower bound via fox ideals

A reduced spherical diagram into a ribbon-disk complement and related examples

* - Groups, graphs, and bases

Some topological graph theory for topologists: A sampler of covering space constructions.

Other Format:

Printed edition:

ISBN:

9783540462965

Access Restriction:

Restricted for use by site license.