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An Application of Word Combinatorics to Decision Problems in Group Theory

Name: An Application of Word Combinatorics to Decision Problems in Group Theory
Creator: Arye Juhász
Keywords: 4. Education

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2010Publisher:Birkhäuser Basel

Authors: Arye Juhász;

doi: 10.1007/978-3-7643-9911-5_7

An Application of Word Combinatorics to Decision Problems in Group Theory

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Abstract

In this work we develop a graph theoretical test on graphs corresponding to subgroups of one-relator groups with small cancellation condition which, if successful, implies that the subgroup under consideration has solvable membership problem with a simple solution. The proof of the solvability of the membership problem relies on word combinatorics in an essential way.

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Technion – Israel Institute of Technology
Israel

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