Abstract length functions in groups-Reference-Cited by-同舟云学术

Abstract length functions in groups

Published:1976-11 Issue:3 Volume:80 Page:451-463
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Chiswell I. M.

Abstract

If F is a free group on some fixed basis X, there is a mapping from F to the non-negative integers, given by sending an element of F to the length of the normal word in X±1 representing it. A similar mapping is obtained in the case of a free product of groups. Lyndon (3) considered mappings from an arbitrary group to the non-negative integers having certain properties in common with these mappings on free groups and free products.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Real length functions in groups

2. Length Functions in Groups.

3. The subgroups of a free product of two groups with an amalgamated subgroup

4. (4) Serre J.-P. Arbres, amalgames et SL2 . To appear as Springer Lecture Notes.

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