NORMAL FORMS FOR AUTOMORPHISMS OF UNIVERSAL COXETER GROUPS AND PALINDROMIC AUTOMORPHISMS OF FREE GROUPS-Reference-Cited by-同舟云学术

NORMAL FORMS FOR AUTOMORPHISMS OF UNIVERSAL COXETER GROUPS AND PALINDROMIC AUTOMORPHISMS OF FREE GROUPS

Published:2010-12 Issue:08 Volume:20 Page:1063-1086
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

PIGGOTT ADAM¹,RUANE KIM²

Affiliation:

1. Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837, USA

2. Department of Mathematics, Tufts University, Medford, Massachusetts 02155, USA

Abstract

We explicitly construct Markov languages of normal forms for the groups in the title of the paper and closely related groups. A Markov language of normal forms is a choice of "preferred spelling" for each group element such that the collection of choices is particularly simple in a language theoretic sense.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196710006035

Reference12 articles.

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3. Word Processing in Groups

4. R. H. Gilman, Combinatorial Group Theory and Topology, Ann. of Math. Stud. 111 (Princeton Univ. Press, Alta, Utah, 1984) pp. 175–183.

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