Representations of infinite permutations by words-Reference-Cited by-同舟云学术

Representations of infinite permutations by words

Published:1987 Issue:2 Volume:100 Page:237-241
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mycielski Jan

Abstract

We prove several cases of the following theorem: Every free group word which is not a proper power can represent every permutation of an infinite set. The remaining cases will be proved in a forthcoming paper of R. C. Lyndon.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-100-02/S0002-9939-1987-0884459-5/S0002-9939-1987-0884459-5.pdf

Reference12 articles.

1. On free subgroups of semisimple groups;Borel, A.;Enseign. Math. (2),1983

2. Aspherical group presentations;Chiswell, Ian M.;Math. Z.,1981

3. Classes of universal words for the infinite symmetric groups;Droste, Manfred;Algebra Universalis,1985

4. Some problems on the universality of words in groups;Ehrenfeucht, A.;Algebra Universalis,1980

5. Universal terms of the form 𝐵ⁿ𝐴^{𝑚};Ehrenfeucht, Andrzej;Algebra Universalis,1980

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