Conjugacy problem in groups with quadratic Dehn function-Reference-Cited by-同舟云学术

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Conjugacy problem in groups with quadratic Dehn function

Published:2020-04 Issue:01 Volume:10 Page:1950023
ISSN:1664-3607
Container-title:Bulletin of Mathematical Sciences
language:en
Short-container-title:Bull. Math. Sci.

Author:

Olshanskii A. Yu.¹²^ORCID,Sapir M. V.¹

Affiliation:

1. Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA

2. Department of Higher Algebra, MEHMAT, Moscow State University, Moscow 119991, Russia

Abstract

We construct a finitely presented group with quadratic Dehn function and undecidable conjugacy problem. This solves Rips’ problem formulated in 1994.

Funder

National Science Foundation

RFFI

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1664360719500231

Reference33 articles.

1. An isoperimetric inequality for the Heisenberg groups

2. Isoperimetric Functions of Groups and Computational Complexity of the Word Problem

3. Conjugacy in nilpotent groups

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Algorithmic problems in groups with quadratic Dehn function;Groups, Geometry, and Dynamics;2022-11-10

2. On the geometry of Cayley automatic groups;International Journal of Algebra and Computation;2022-03-15

3. Groups finitely presented in Burnside varieties;Journal of Algebra;2020-10

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